Zobrazeno 1 - 10
of 625
pro vyhledávání: '"Borel conjecture"'
Autor:
Brendle, Joerg, Wohofsky, Wolfgang
We show in ZFC that there is no set of reals of size continuum which can be translated away from every set in the Marczewski ideal. We also show that in the Cohen model, every set with this property is countable.
Externí odkaz:
http://arxiv.org/abs/2401.04300
Akademický článek
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Autor:
Behtouei, Mostafa
This paper explores the intriguing connections between the invariant subspace problem, the Kadison-Singer problem, and the Borel conjecture. The Kadison-Singer problem, originally formulated in terms of pure states on C*-algebras, was later reformula
Externí odkaz:
http://arxiv.org/abs/2309.00171
Autor:
Scheepers, Marion
The Borel covering property, introduced a century ago by E. Borel, is intimately connected with Ramsey theory, initiated ninety years ago in an influential paper of F.P. Ramsey. The current state of knowledge about the connection between the Borel co
Externí odkaz:
http://arxiv.org/abs/1912.03796
Autor:
Marion Scheepers, Ondřej Zindulka
Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adve
Publikováno v:
Transactions of the American Mathematical Society, 2014 Jan 01. 366(1), 245-307.
Externí odkaz:
https://www.jstor.org/stable/23813136
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
Externí odkaz:
http://arxiv.org/abs/1112.4424
Publikováno v:
Trans. Amer. Math. Soc. 366 (2014), No. 1, 245-307
We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.
Comment: 47 pages, revised version 2013 (some typos removed, some points elaborated. Dedication added.)
Comment: 47 pages, revised version 2013 (some typos removed, some points elaborated. Dedication added.)
Externí odkaz:
http://arxiv.org/abs/1105.0823
Autor:
Bartels, Arthur, Lück, Wolfgang
Publikováno v:
Annals of Mathematics, 2012 Mar 01. 175(2), 631-689.
Externí odkaz:
http://dx.doi.org/10.4007/annals.2012.175.2.5