@string{apal = "Annals of Pure and Applied Logic"}
@string{fm = "Fundamenta Mathematicae"}
@string{comb = "Combinatorica"}
@string{AMASH = {Acta Mathematica Scientiarum Hungaricae}}
@string{aml = "Archives for Mathematical Logic"}
@string{ArM = {Archiv der Mathematik}}
@string{AU = {Algebra Universalis}}
@string{blms = "Bulletin of the London Mathematical Society"}
@string{CIA = "Comunications in Algebra"}
@string{crasp = "Compte Rendu Acad. Sci. Paris"}
@string{ijm = "Israel Journal of Mathematics"}
@string{MoMa = {Monatshefte f{\"u}r Mathematik}}
@string{MZ = {Mathematische Zeitschrift}}
@string{pams = "Proceedings of the American Mathematical Society"}
@string{phm = "Philosophia Mathematicae"}
@string{portm = "Portugalia Math."}
@string{rms = "Rocky Mountain Journal"}
@string{sem = "Mathematische Semesterberichte"}
@string{siamjdm = "Siam Journal of Discrete Mathematics"}
@string{tams = "Transactions of the American Mathematical Society"}
@string{mlq = "Mathematical Logic Quarterly"}
@string{cmj = "Czechoslovak Mathematical Journal"}
@preamble{"\bigskip\bigskip
\def\nbibitem[#1]{\advance\bcount1 \bibitem[\number\bcount]}
\newcount\bcount
\def\acceptedinprint{accepted/in print}
\def\submittedinpreparation{submitted/in preparation}"}
@misc{diplom,
title = {{Completion of Semirings}},
author = {Martin Goldstern},
eprint = {math.RA/0208134},
year= 1987,
note = {Diploma thesis, TU Wien},
}
@InCollection{glv1,
author = "Martin Goldstern",
title = "{Eine Klasse vollst{\"a}ndig gleichverteilter
Folgen}",
booktitle = "Zahlentheoretische Analysis~II",
publisher = "Springer",
year = 1987,
editor = "Edmund Hlawka",
number = 1262,
series = "Springer Lecture Notes in Mathematics",
pages = "37--45",
summary = {(In German.) It has been shown previously that if
$(a_n)$ is a sequence of distinct real positive numbers,
any two of which are at least a distance $\delta$ apart,
then for almost all $x>$, $(x^{a_n})$ is completely
uniformly distributed modulo 1.
(I.e., for all $k$,
for any $k$-dimensional cube $C \subseteq [0,1]^k$,
the density of the set of those $n$ for which
$(x^{a_{n+1}}, ..., x^{a_{n+k}})$ is in $C$
is $\mu(C)$.)
We generalize this theorem to also admit certain
sequences $(a_n)$ which are dense in the positive real
numbers.},
},
@InCollection{glv2,
author = "Martin Goldstern",
title = "{Vollst{\"a}ndige
Gleichverteilung in diskreten R{\"a}umen}",
booktitle = "Zahlentheoretische Analysis~II",
publisher = "Springer",
year = 1987,
editor = "Edmund Hlawka",
number = 1262,
series = "Springer Lecture Notes in Mathematics",
pages = "46--49",
summary = {(In German.)
For any $c < 1$, almost all $\{0,1\}$-sequences
are $(c * \log n)$-uniformly distributed.
($\log$ is the logarithm with base 2)
We construct an explicit example of such a sequence.},
}
@Article{GTT,
author = "Martin Goldstern and Robert Tichy and G. Turnwald",
title = "{The distribution of the ratios
of terms in a linear recurrence}",
journal = MoMa,
year = 1989,
volume = 107,
pages = "35-55",
summary = {If the sequence $(a_n)$ of real numbers satisfies a
linear recurrence with constant coefficients, what can
be said about the distribution of the quotients
$a_{n+1}/a_n$ modulo 1?
If the characteristic polynomial has a unique largest root, then
of course the sequence of quotients converges to that root.
Otherwise, it turns out that there is a continuous distribution
function. In the case of two or three roots of largest
absolute value, this function we compute this function explicitly.
[Surprisingly, sometimes the case of three roots can be reduced
to the case of two roots.]
In the general case, the function can be written as a
finite sum of certain integrals.
We also give estimates for the discrepancy.},
}
@article{GoSh:388,
mathreviews = {91m:03050},
class = {(03E05)},
sclass = {(03E35); (04A20)},
author = {Goldstern, Martin and Shelah, Saharon},
fromwhere = {1,IL},
journal = {{Annals of Pure and Applied Logic}},
year = {1990},
volume = {49},
title = {{Ramsey ultrafilters and the reaping number---${\rm Con}({ r}<{ u})$}},
pages = {121--142},
original = {No F},
done = {5--6.1989},
},
@article{GJSh:399,
mathreviews = {91g:03093},
class = {(03E05)},
sclass = {(54A25)},
author = {Goldstern, Martin and Judah, Haim and Shelah, Saharon},
fromwhere = {1,IL,IL},
journal = {{Proceedings of the American Mathematical Society}},
year = {1991},
volume = {111},
title = {{Saturated families}},
pages = {1095--1104},
},
@article{GJSh:369,
mathreviews = {91g:54008},
class = {(54A25)},
sclass = {(03E50); (03E75)},
author = {Goldstern, Martin and Judah, Haim and Shelah, Saharon},
fromwhere = {1,IL,IL},
journal = {{Proceedings of the American Mathematical Society}},
year = {1991},
volume = {111},
title = {{A regular topological space having no closed subsets of cardinality $\aleph\sb 2$}},
pages = {1151--1159},
done = {10.1988},
},
@Article{pmbc,
author = "Martin Goldstern and Haim Judah",
title = "{Iteration of
Souslin Forcing, Projective Measurability and the
Borel Conjecture}",
journal = IJM,
year = 1992,
volume = 78,
pages = "335-362"
}
@InProceedings{tools,
author = "Martin Goldstern",
title = "{Tools for Your Forcing Construction}",
year = 1993,
editor = "Haim Judah",
volume = 6,
booktitle = "Set Theory of The Reals",
series = "Israel Mathematical Conference Proceedings",
publisher = "American Mathematical Society",
pages= "305-360"
}
@article{438,
author = {Goldstern, Martin and Judah, Haim and Shelah, Saharon},
fromwhere = {IL,IL,IL},
journal = {{Journal of Symbolic Logic}},
volume = {58},
title = {{Strong measure zero sets without Cohen reals}},
ackn = {ACAD},
pages = {1323--1341},
year = {1993},
eprint = {math.LO/9306214},
},
@article{434,
mathreviews = {93d:03055},
class = {(03E35)},
sclass = {(28A05); (28E15); (54A25)},
author = {Bartoszy\'nski, Tomek and Goldstern, Martin and Judah, Haim and Shelah, Saharon },
fromwhere = {1,IL,IL,IL},
journal = {{Proceedings of the American Mathematical Society}},
title = {{All meager filters may be null}},
volume = {117},
pages = {515--521},
year = {1993},
original = {2.12.92 BIL},
ackn = {ACAD},
eprint = {math.LO/9301206},
},
@article{GoSh:448,
mathreviews = {94c:03064},
class = {(03E05)},
sclass = {(03E35); (04A15)},
author = {Goldstern, Martin and Shelah, Saharon},
fromwhere = {D,IL},
journal = {{Archive for Mathematical Logic}},
volume = {32},
year = {1993},
pages = {203--221},
title = {{Many simple cardinal invariants}},
ackn = {ACAD,Landau},
done = {1.1991, 5-6.1991},
eprint = {math.LO/9205208},
},
@Article{sf,
author = "Martin Goldstern",
title = "{An Application of Shoenfield's Absoluteness Theorem
to the Theory of Uniform Distribution}",
journal = moma,
year = 1993,
volume = 116,
pages = "237-243",
eprint = {math.LO/9308201},
}
@Article{tt,
author = "Martin Goldstern and Mark Johnson and Otmar Spinas",
title = "{Towers on Trees}",
journal = PAMS,
year = 1994,
volume = 122,
pages = "557-564"
}
@Article{cud,
author = "Martin Goldstern",
title = "{The Complexity of Uniform Distribution}",
journal = "Mathematica Slovaca",
year = 1994,
volume = 44,
pages = {491--500},
}
@article{487,
author = {Goldstern, Martin and Repick\'y, Miroslav and Shelah, Saharon and Spinas, Otmar},
fromwhere = {D,SL,CH,IL},
journal = {{Proceedings of the American Mathematical Society}},
volume = {123},
year = {1995},
pages = {1573--1581},
title = {{On tree ideals}},
ackn = {DFG,Landau},
abstract = {Let $l^0$ and $m^0$ be the ideals associated with Laver
and Miller forcing, respectively. We show that ${\bf add }(l^0)
< {\bf cov}(l^0)$ and ${\bf add }(m^0) < {\bf cov}(m^0)$ are
consistent. We also show that both Laver and Miller forcing
collapse the continuum to a cardinal $\le {\bf h}$.},
eprint = {math.LO/9311212},
},
@article{507,
author = {Goldstern, Martin and Shelah, Saharon},
fromwhere = {D,IL},
journal = {{Journal of Symbolic Logic}},
volume = {60},
pages = {58-73},
year = {1995},
title = {{The Bounded Proper Forcing Axiom}},
ackn = {Landau, DFG},
typist = {Goldstern},
done = {5.1993},
eprint = {math.LO/9501222},
},
@Book{logic,
author = "Martin Goldstern and Haim Judah",
title = "{The Incompleteness Phenomenon. A New Course in
Mathematical Logic}",
publisher = "A.K.Peters",
year = 1995,
address = "Boston"
}
@Article{GGK,
author = "Martin Goldstern and Rami Grossberg and Menachem Kojman",
title = "{Infinite Homogeneous
Bipartite Graphs With Unequal Sides}",
journal = "Discrete Mathematics",
year = 1996,
volume = 149,
pages = {69-82},
eprint = {math.LO/9409204},
},
@Article{mfl,
author = "Martin Goldstern",
title = "{Interpolation of Monotone Functions
in Lattices}",
journal = AU,
year = 1996,
volume = 36,
pages = {108--121},
}
@Article{arrow,
author = "Martin Goldstern and Menachem Kojman ",
title = " Universal arrow-free graphs",
journal = "Acta Mathematica Hungarica",
year = 1996,
volume = 73,
pages = {319--326},
eprint = {math.LO/9409206},
}
@article{dede,
author = {Martin Goldstern},
title = {Strongly amorphous sets and dual {D}edekind infinity},
journal = {Mathematical Logic Quarterly},
year = 1997,
volume = 43,
pages = {39--44},
eprint = {math.LO/9504201},
},
@article{554,
author = {Goldstern, Martin and Shelah, Saharon},
trueauthor = {Goldstern, Martin and Shelah, Saharon},
fromwhere = {A, IL},
journal = {Fundamenta Mathematicae},
volume = 152,
pages = {255--265},
title = {{A partial order where all monotone maps are definable}},
eprint = {math.LO/9707202},
year = 1997,
},
@Article{most,
author = "Martin Goldstern",
title = "{Most algebras have the Interpolation Property}",
journal = AU,
volume = 38,
year = 1997,
pages = {97--114},
}
@InProceedings{taste,
author = {Martin Goldstern},
title = {A Taste of Proper Forcing},
booktitle = {Set theory: techniques and applications.},
editor = {Di Prisco, Carlos Augusto},
year = 1998,
publisher = {Kluwer Academic Publishers},
address = {Dordrecht},
pages = {71-82},
note = { Proceedings of the conferences, Curacao,
Netherlands Antilles, June 26--30, 1995 and
Barcelona, Spain, June 10--14, 1996.}
}
@incollection{l01,
title = {Interpolation of Monotone Functions in $\{0,1\}$-Lattices},
author = {Martin Goldstern},
booktitle = {Contributions to General Algebra 10},
year = 1998,
publisher = {Heyn Verlag},
}
@article{633,
author = {Goldstern, Martin and Shelah, Saharon},
journal = {{Algebra Universalis}},
year = 1998,
title = {{Order-polynomially complete lattices must be LARGE}},
done = {01.1997},
volume = 39,
pages = {197-209},
abstract = {If $L$ is an order-polynomially complete lattice, then the
cardinality of $L$ must be a strongly inaccessible cardinal},
submitted = {submitted:06.02.1997 to Graetzer - accepted 07.97},
eprint = {math.LO/9707203},
ackn = {GIF},
}
@article{fuzzy,
author = {Martin Goldstern},
title = {The complexity of fuzzy tautologies},
eprint ={math.LO/9707205},
},
@article{taschner,
author = {Martin Goldstern},
title = {{Mathematik: Asymptote der Wahrheit}},
journal = {Ethik und Sozialwissenschaften: Streitforum f\"ur Erw\"agungskultur},
year = 1998,
volume = 9,
number=3,
pages={448-450},
},
@article{hom,
author = {Martin Goldstern and Menachem Kojman},
title = {Rules and reals},
volume=127,
year=1999,
pages={1517--1524},
journal = pams,
eprint = {math.LO/9707204},
},
@article{opc,
author = {Goldstern, Martin and Shelah, Saharon},
journal = {{Algebra Universalis}},
title = {{There are no order-polynomially complete lattices, after all}},
year=1999,
pages={49-57},
volume=42,
eprint={math.LO/9810050},
}
@article{GWS,
title = {Metric, fractal dimensional and {B}aire results on the
distribution of subsequences},
author = {Martin Goldstern and J\"org Schmeling and Reinhard Winkler},
journal = {Mathematische Nachrichten},
volume = 219,
year = 2000,
pages = {97-108},
},
@article{hier,
author ={Martin Goldstern},
title = {{Mengenlehre: Hierarchie der Unendlichkeiten}},
note = {Ausarbeitung eines Vortrags anl{\"a}{\ss}lich des
Lehrerfortbildungstages 2000.
{\tt http://info.tuwien.ac.at/goldstern/papers/index.html\char`\#didaktik }
},
journal = {{\"O}MG-Didaktikhefte}},
volume = {31},
year = {2000},
},
@proceedings{cga12,
editor = {D. Dorninger and G. Eigenthaler and M. Goldstern and
H. K. Kaiser and W. More and W. B. M{\"u}ller},
title= {Contributions to General Algebra 12},
note = {Proceedings of the meeting AAA 58, Vienna, June 1999},
year = {2000},
}
@inproceedings{aaa58,
title={Lattices, interpolation and set theory},
author={Martin Goldstern},
booktitle={Contributions to General Algebra 12},
year = {2000},
eprint = {math.RA/0004047},
note = {Proceedings of the meeting AAA 58, Vienna, June 1999},
}
@article{ortho,
author = {Martin Goldstern},
title = {Interpolation in ortholattices},
submitted = {to A.U. Manitoba, Feb 28, 2000, accepted aug 00 schmidt,
galley nov 2000},
eprint = {math.RA/0002237},
journal = AU,
pages = {63--70},
year = 2001,
volume = 45,
},
@article {GS:pos,
AUTHOR = {Goldstern, Martin R. and Schweigert, Dietmar},
TITLE = {Power-ordered sets},
JOURNAL = {Discussiones Mathematicae. General Algebra and Applications},
VOLUME = {22},
YEAR = {2002},
NUMBER = {1},
PAGES = {39--46},
ISSN = {1509-9415},
MRCLASS = {06A06},
MRNUMBER = {1 928 061},
}
@article {GP:bdc,
AUTHOR = {Goldstern, Martin and Plo{\v{s}}{\v{c}}ica, Miroslav},
TITLE = {Balanced {$d$}-lattices are complemented},
JOURNAL = {Discussiones Mathematicae. General Algebra and Applications},
VOLUME = {22},
YEAR = {2002},
NUMBER = {1},
PAGES = {33--37},
ISSN = {1509-9415},
MRCLASS = {06B10 (08A30)},
MRNUMBER = {1 928 060},
eprint = {math.RA/0111282},
}
@article {737,
AUTHOR = {Goldstern, Martin and Shelah, Saharon},
TITLE = {Clones on regular cardinals},
JOURNAL = {Fundamenta Mathematicae},
VOLUME = {173},
YEAR = {2002},
NUMBER = {1},
PAGES = {1--20},
ISSN = {0016-2736},
MRCLASS = {08A40 (03B50 03E05)},
MRNUMBER = {1 899 044},
eprint = {math.LO/0005273},
}
@article{GoSh:696,
author = {Goldstern, Martin and Shelah, Saharon},
journal = {Order},
title = {{Antichains in products of linear orders}},
abstract = {{We show that: For many cardinals $ \lambda$, for all
$n\in \{2,3,4,\ldots\}$ There is a linear order $L$ such that
$L^n$ has no (incomparability-)antichain of cardinality
$\lambda$, while $L^{n+1}$ has an antichain of cardinality
$\lambda$. For any nondecreasing sequence $(\lambda_n: n \in
\{2,3,4,\ldots\})$ of infinite cardinals it is consistent that
there is a linear order $L$ such that $L^n$ has an antichain
of cardinality $\lambda_n$, but not one of cardinality
$\lambda_n^+$.}},
submitted = {to Ivan Rival for "Order", 1999-03-01},
texfile = {~/papers/current/696.tex},
volume = {19},
number = {3},
year = {2002},
pages = {213--222},
eprint= {math.LO/9902054},
keywords = {},
},
@misc{cov,
title = {{Continuous Ramsey theory on Polish spaces and covering the
plane by functions}},
author = {Stefan Geschke and Martin Goldstern and Menachem Kojman},
eprint = {math.LO/0205331},
journal = {Journal of Mathematical Logic},
volume= {to appear},
}
@inproceedings{mono,
author= {Martin R. Goldstern},
title= {Recursive mono-unaries: an exercise in quantifier elimination},
booktitle={Contributions to General Algebra 15},
year = {2004},
note = {Proceedings of the meeting AAA 65, Klagenfurt, 2003},
}
@article{747,
author = {Goldstern, Martin and Shelah, Saharon},
trueauthor = {Goldstern, Martin and Shelah, Saharon},
title = {{Large intervals in the Clone lattice}},
journal = {submitted},
volume = {},
done = {},
eprint = {math.RA/0208066},
},
@article{808,
author = {Goldstern, Martin and Shelah, Saharon},
title = {{Clones from Creatures}},
journal = {Transactions of the American Mathematical Society},
volume = {to appear},
office = {comes from F572},
eprint = {math.RA/0212379 },
},
@article{822,
author = {Boerner, Ferdinand and Goldstern, Martin and Shelah, Saharon},
trueauthor = {B\"orner, Ferdinand and Goldstern, Martin and Shelah, Saharon},
title = {{Automorphisms and strongly invariant relations}},
journal = {submitted},
eprint = {math.LO/0309165},
},
@proceedings{cga14,
editor = {I. Chajda and K. Denecke and G. Eigenthaler and M. Goldstern and
W. B. M{\"u}ller and R. P{\"o}schel},
title= {Contributions to General Algebra 14},
note = {Proceedings of the Olomouc workshop 2002 (AAA 64) and the Potsdam Workshop 2003 (AAA 65)},
year = {2004},
},
@proceedings{cga15,
editor = {G. Eigenthaler and M. Goldstern and H. K. Kaiser and H. Kautschitsch and W. More and W. B. M{\"u}ller J. Schoi{\ss}engeier},
title= {Contributions to General Algebra 15},
note = {Proceedings of the Klagenfurt 2003 (AAA 66)},
year = {2004},
}
@article{analytic,
author = {Martin Goldstern},
title = {Analytic clones},
eprint = {math.RA/0404214},
year={2004},
}
@article{conuni,
author = {Martin R. Goldstern},
title = {Yet another note on congruence uniformity},
year={200x},
journal={Demonstratio Mathematica},
},