@string { tom = "{Brown}, T.C." }
@string { shiue = "{Shiue}, P.J.-S." }
@string { jctsa = "J. Combin. Theory Ser. A" }
@string { jlms = "J. London Math. Soc." }
@string { proc_ams = "Proc. Amer. Math. Soc." }
@string { integers = "INTEGERS - Elect. J. Combin. Number Theory" }
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author = "Alspach, B. and Brown, T.C. and Hell, P.",
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author = "Anderson, Peter G.",
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author = "{Anderson}, P.G. and " # tom # " and " # shiue,
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volume = 123,
year = 1995,
pages = "2005--2009"
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author = "Ardal, Hayri and Brown, Tom and Pleasants, Peter A.B.",
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volume = 109,
year = 2005,
pages = "75--90"
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author = "Ardal, Hayri and Brown, Tom and Jungi\'c, Veselin",
title = "Chaotic Orderings of the Rationals and Reals",
journal = "Amer. Math. Monthly",
volume = 118,
year = 2011,
pages = "921--925"
}
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author = "Ardal, Hayri and Brown, Tom and Jungi\'c, Veselin and Sahasrabudhe, Julian",
title = "On abelian and additive complexity in infinite words",
journal = integers,
volume = 12,
pages = "\#A21",
year = 2012
}
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year = 1937,
pages = "769--779",
note = "(Russian, with French summary)"
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author = "Au, Yu-Hin and Robertson, Aaron and Shallit, Jeffrey",
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journal = integers,
volume = 11,
year = 2011,
pages = "\#A6"
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author = "{Berstel}, J. and {S\'e\'ebold}, P.",
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pages = "45--110",
crossref = {lothaire2002}
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note = "Corrected reprint of the 1983 original, with a new preface by Perrin",
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editor = "{Lothaire}, M.",
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author = "Baez, J.C.",
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@Unpublished{beck+robins,
author = "Beck, M. and Robins, S.",
title = "A formula related to the {Frobenius} problem in two dimensions",
note = "Number Theory, Springer-Verlag, New York, to appear"
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author = "Beeler, Michael D.",
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year = 1983,
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author = "Beeler, Michael D. and O'Niel, Patrick E.",
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pages = "135--146"
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author = "Behrend, F.",
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volume = 67,
year = 1938,
pages = "235--239"
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author = "B{\"o}hmer, P.E.",
title = "{\"U}ber die Transzendenz gewisser dyadischer Br{\"u}che",
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note = "erratum 96 (1926) 735"
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author = "Borwein, J.M. and Borwein, P.B.",
title = "On the generating function of the integer part: $[n\alpha+\gamma]$",
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year = 1993,
pages = "293--318"
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@Book{bourbaki1989,
author = "Bourbaki, Nicolas",
title = "General Topology",
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note = "Translation of: Topologie g\'en\'erale."
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@Article{brauer1942,
author = "Brauer, A.",
title = "On a Problem of Partitions",
journal = "Amer. J. Math.",
volume = 64,
year = 1942,
pages = "299--312"
}
@Article{brown1964,
author = tom,
title = "On the finiteness of semigroups in which $x^r = r$",
journal = "Proc. Cambridge Philos. Soc.",
volume = 60,
year = 1964,
pages = "1028--1029"
}
@Article{brown1967,
author = tom,
title = "A semigroup union of disjoint locally finite subsemigroups which is not locally finite",
journal = "Pacific J. Math.",
volume = 22,
year = 1967,
pages = "11--14"
}
@Article{brown1968,
author = tom,
title = "On locally finite semigroups (in Russian)",
journal = "Ukraine Math. J.",
volume = 20,
year = 1968,
pages = "732--738"
}
@Article{brown1969,
author = tom,
title = "On {van der Waerden's} theorem on arithmetic progressions",
journal = "Notices Amer. Math. Soc.",
volume = 16,
year = 1969,
pages = 245
}
@Article{brown1971-1,
author = tom,
title = "An interesting combinatorial method in the theory of locally finite semigroups",
journal = "Pacific J. Math.",
volume = 36,
year = 1971,
pages = "285--289"
}
@Article{brown1971-2,
author = tom,
title = "Is there a sequence on four symbols in which no two adjacent segments are permutations of one other?",
journal = "American Math. Monthly",
volume = 78,
pages = "886--888",
year = 1971
}
@Article{brown1971-3,
author = tom,
title = "On {$N$}-sequences",
journal = "Math. Magazine",
volume = 44,
year = 1971,
pages = "89--92"
}
@Article{brown1975-1,
author = tom,
title = "Variations on {van der Waerden's} and {Ramsey's} Theorems",
journal = "Amer. Math. Monthly",
volume = 82,
year = 1975,
pages = "993--995"
}
@Article{brown1975-2,
author = tom,
title = "A proof of {Sperner's} lemma via {Hall's} theorem",
journal = "Proc. Camb. Philos. Soc.",
volume = 78,
year = 1975,
pages = 387
}
@Article{brown1975-3,
author = tom,
title = "{Behrend's} theorem for sequences containing no $k$-element arithmetic progression of a certain type",
journal = jctsa,
volume = 18,
year = 1975,
pages = "352--356"
}
@Article{brown1976,
author = tom,
title = "Common transversals",
journal = jctsa,
volume = 21,
year = 1976,
pages = "80--85"
}
@Article{brown1978,
author = tom,
title = "On homogeneous cubes",
journal = "Bogazici University J.",
volume = 6,
year = 1978,
pages = "13--16"
}
@Article{brown1981,
author = tom,
title = "On van der {Waerden}'s theorem and a theorem of {Paris} and {Harrington}",
journal = jctsa,
volume = 30,
year = 1981,
pages = "108--111"
}
@Article{brown1983-1,
author = tom,
title = "Common transversals for three partitions",
journal = "Bogazici University J.",
volume = 10,
year = 1983,
pages = "47--49"
}
@Article{brown1983-2,
author = tom,
title = "An application of density {Ramsey} theory to transversal theory",
journal = "Bogazici University J.",
volume = 10,
year = 1983,
pages = "41--46"
}
@Article{brown1984-1,
author = tom,
title = "Common transversals for partitions of a finite set",
journal = "Discrete Math.",
volume = 51,
year = 1984,
pages = "119--124"
}
@Article{brown1984-2,
author = tom,
title = "A graph-theoretic conjecture which implies {Szemer\'edi's} theorem",
journal = "Bull. Istanbul Tech. Univ.",
volume = 37,
year = 1984,
pages = "59--63"
}
@Article{brown1984-3,
author = tom,
title = "Some quantitative aspects of {Szemer\'edi's} theorem modulo $n$",
journal = "congressus Numerantium",
volume = 43,
year = 1984,
pages = "169--174"
}
@Article{brown1985-1,
author = tom,
title = "Affine and combinatorial binary $m$-spaces",
journal = jctsa,
volume = 38,
year = 1985,
pages = "25--34"
}
@Article{brown1985-2,
author = tom,
title = "Monochromatic affine lines in finite vector spaces",
journal = jctsa,
volume = 38,
year = 1985,
pages = "35--41"
}
@Article{brown1990,
author = tom,
title = "Cancellation in semigroups in which $x^2 = x^3$",
journal = "Semigroup Forum",
volume = 41,
year = 1990,
pages = "49--53"
}
@Article{brown1991,
author = tom,
title = "A characterization of the quadratic irrationals",
journal = "Canad. Math. Bull.",
volume = 34,
year = 1991,
pages = "36--41"
}
@Article{brown1993,
author = tom,
title = "Descriptions of the characteristic sequence of an irrational",
journal = "Canad. Math. Bull.",
volume = 36,
year = 1993,
pages = "15--21"
}
@Article{brown1994,
author = tom,
title = "Powers of digital sums",
journal = "Fib. Quart.",
volume = 32,
year = 1994,
pages = "207--210"
}
@Article{brown1999-1,
author = tom,
title = "A pseudo upper bound for the van der {Waerden} function",
journal = jctsa,
volume = 87,
year = 1999,
pages = "233--238"
}
@inCollection{brown1999-2,
author = tom,
title = "Monochromatic arithmetic forests",
booktitle = "Paul Erd\H{o}s and His Mathematics",
editor = "Sali, A. and Simonovits, M. and S\'os, V.T.",
publisher = "J\'anos Bolyai Mathematical Society",
address = "Budapest, Hungary",
year = 1999,
pages = "42--44"
}
@Article{brown2000,
author = tom,
title = "Monochromatic Forests of Finite Subsets of $\mathbb{N}$",
journal = integers,
volume = 0,
year = 2000,
pages = "A4"
}
@Article{brown2001,
author = tom,
title = "Monochromatic structures in colorings of the positive integers and the finite subsets of the positive integers",
journal = "15th MCCCC (Las Vegas, NV, 2001). J. Combin. Math. Combin. Comput.",
volume = 46,
year = 2003,
pages = "141--153"
}
@Article{brown2002,
author = tom,
title = "Applications of standard {Sturmian} words to elementary number theory.",
journal = "WORDS (Rouen, 1999). Theoret. Comput. Sci.",
volume = 273,
number = "1--2",
year = 2002,
pages = "5--9"
}
@Article{brown2003,
author = tom,
title = "On the Canonical Version of a Theorem in {Ramsey} Theory",
journal = "Special Issue on Ramsey Theory, Combinatorics, Probability and Computing",
volume = 12,
year = 2003,
pages = "513--514"
}
@Article{brown2005,
author = tom,
title = "A Partition of the Non-Negative Integers, with Applications",
journal = integers,
volume = 5,
number = 2,
year = 2005,
pages = "A2",
note = "(Proceedings of the Integers Conference 2003 in Honor of Tom Brown's Birthday)"
}
@inProceedings{brown2006,
author = tom,
title = "A Partition of the Non-negative Integers, with Applications to {Ramsey} Theory",
booktitle = "Discrete Mathematics and its Applications",
pages = "79--87",
address = "Proceedings of the International Conference on Discrete Mathematics and its Applications, Amrita Vishwa Vidyapeetham, Ettimadai Coimbatore, India",
publisher = "Narosa Publishing House",
year = 2006
}
@Article{brown2012,
author = tom,
title = "Approximations of Additive Squares in Infinite Words",
journal = integers,
volume = 12,
year = 2012,
pages = "A22"
}
@Article{brown+buhler1982,
author = "Brown, T.C. and Buhler, J.P.",
title = "A density version of a geometric {Ramsey} Theorem",
journal = jctsa,
volume = 25,
year = 1982,
pages = "20--34"
}
@Article{brown+buhler1983,
author = "Brown, T.C. and Buhler, J.P.",
title = "{Behrend}'s theorem for dense subsets of finite vector spaces",
volume = 35,
pages = "724--734",
year = 1983,
journal = "Canad. J. Math."
}
@Article{brown+buhler1984,
author = "Brown, T.C. and Buhler, J.P.",
title = "Lines imply spaces in density {Ramsey} theory",
journal = jctsa,
volume = 36,
year = 1984,
pages = "214--220"
}
@Article{brown+chou+shiue2003,
author = "Brown, Tom C. and Chou, Wun-Seng and Shiue, Peter J.-S.",
title = "On the partition function of a finite set",
journal = "Australas. J. Combin.",
volume = 27,
year = 2003,
pages = "193--204"
}
@Article{brown+chung+erdos+graham1985,
author = "Brown, T.C. and Chung, F.R.K. and Erd\H{o}s, P. and Graham, R.L.",
title = "Quantitative forms of a theorem of {Hilbert}",
journal = jctsa,
volume = 38,
year = 1985,
pages = "210--216"
}
@Article{brown+freedman1987,
author = "Brown, T.C. and Freedman, A.R.",
title = "Arithmetic progressions in lacunary sets",
journal = "Rocky Mountain J. Math.",
volume = 17,
number = 3,
year = 1987,
pages = "587--596"
}
@Article{brown+freedman1989-1,
author = tom # " and " # "Freedman, Allen R.",
title = "Small sets which meet all the $k(n)$-term arithmetic progressions in the interval $[1,n]$",
journal = jctsa,
volume = 51,
year = 1989,
pages = "244--249"
}
@Article{brown+freedman1989-2,
author = "Brown, T.C. and Freedman, A.R.",
title = "Small sets which meet every $f(n)$-term arithmetic progressions in the interval $[1, n]$",
journal = jctsa,
volume = 51,
year = 1989,
pages = "244--249"
}
@Article{brown+freedman1990,
author = "Brown, T.C. and Freedman, A.R.",
title = "The uniform density of sets of integers and {Fermat's Last Theorem}",
journal = "C.R. Math. Rep. Acad. Sci. Canad.",
volume = 12,
year = 1990,
pages = "1--6"
}
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%%% MATH OVERFLOW
@MISC {MO134421,
TITLE = {{R}eference: uniformity of pointwise convergence has no countable base},
AUTHOR = {Simon Henry\phantom{x}(mathoverflow.net/users/22131)},
HOWPUBLISHED = {MathOverflow},
NOTE = {\url{http://mathoverflow.net/questions/134421} (version: 2013-06-21)},
EPRINT = {\url{http://mathoverflow.net/questions/134421}},
URL = {\url{http://mathoverflow.net/questions/134421}},
}