Multiple gaps
A Avilés, S Todorcevic - arXiv preprint arXiv:1001.4888, 2010 - arxiv.org
arXiv:1001.4888v2 [math.LO] 11 Apr 2011 Page 1 arXiv:1001.4888v2 [math.LO] 11 Apr 2011
MULTIPLE GAPS ANTONIO AVILÉS AND STEVO TODORCEVIC Abstract. We study a …
MULTIPLE GAPS ANTONIO AVILÉS AND STEVO TODORCEVIC Abstract. We study a …
Basic orders in descriptive combinatorics
S Todorcevic - Topology and its Applications, 2023 - Elsevier
Basic orders were originally introduced in order to illuminate Tukey theory of directed sets
and in particular explain the phenomenon that Tukey reductions between definable directed …
and in particular explain the phenomenon that Tukey reductions between definable directed …
Finite basis for analytic multiple gaps
A Aviles, S Todorcevic - Publications mathématiques de l'IHÉS, 2015 - numdam.org
An n-gap consists of n many pairwise orthogonal families of subsets of a countable set that
cannot be separated. We prove that for every positive integer n there is a finite basis for the …
cannot be separated. We prove that for every positive integer n there is a finite basis for the …
[HTML][HTML] Tukey classification of some ideals on ω and the lattices of weakly compact sets in Banach spaces
We study the lattice structure of the family of weakly compact subsets of the unit ball BX of a
separable Banach space X, equipped with the inclusion relation (this structure is denoted by …
separable Banach space X, equipped with the inclusion relation (this structure is denoted by …
P-ideal dichotomy and Tukey order.
S Todorcevic - Fundamenta Mathematicae, 2024 - search.ebscohost.com
The article focuses on the P-ideal dichotomy and its connection to the theory of Tukey
reductions of directed sets. Topics include the nature and applications of P-ideals in …
reductions of directed sets. Topics include the nature and applications of P-ideals in …
Fréchet Borel ideals with Borel orthogonal
F Guevara, C Uzcátegui - arXiv preprint arXiv:1312.4095, 2013 - arxiv.org
We study Borel ideals $ I $ on $\mathbb {N} $ with the Fr\'echet property such its orthogonal
$ I^\perp $ is also Borel (where $ A\in I^\perp $ iff $ A\cap B $ is finite for all $ B\in I $ and $ I …
$ I^\perp $ is also Borel (where $ A\in I^\perp $ iff $ A\cap B $ is finite for all $ B\in I $ and $ I …
[HTML][HTML] Types in the n-adic tree and minimal analytic gaps
A Aviles, S Todorcevic - Advances in Mathematics, 2016 - Elsevier
Types in the n-adic tree and minimal analytic gaps - ScienceDirect Skip to main contentSkip to
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Compact spaces of the first Baire class that have open finite degree
A Avilés, S Todorcevic - Journal of the Institute of Mathematics of …, 2018 - cambridge.org
COMPACT SPACES OF THE FIRST BAIRE CLASS THAT HAVE OPEN FINITE DEGREE Page
1 J. Inst. Math. Jussieu (2018) 17(5), 1173–1196 doi:10.1017/S1474748016000335 c …
1 J. Inst. Math. Jussieu (2018) 17(5), 1173–1196 doi:10.1017/S1474748016000335 c …
Isolating subgaps of a multiple gap
A Avilés, S Todorcevic - Monatshefte für Mathematik, 2018 - Springer
Given an analytic multiple gap Γ={Γ _i:\, i< n\} Γ= Γ i: i< n, we study the family B (Γ) B (Γ) of
the sets A ⊂ n A⊂ n for which there is a restriction {Γ _i| _a:\, i ∈ A\} Γ i| a: i∈ A which is still …
the sets A ⊂ n A⊂ n for which there is a restriction {Γ _i| _a:\, i ∈ A\} Γ i| a: i∈ A which is still …
Basis problem for analytic multiple gaps
A Avilés, S Todorcevic - arXiv preprint arXiv:1209.3751, 2012 - arxiv.org
A k-gap is a finite k-sequence of pairwise disjoint monotone families of infinite subsets of N
mixed in such a way that we cannot find a partition of N such that each family is trival on one …
mixed in such a way that we cannot find a partition of N such that each family is trival on one …