The combinatorics of open covers

M Sakai, M Scheepers - Recent Progress in General Topology III, 2013 - Springer
The combinatorics of open covers is a study of Cantor's diagonal argument in various
contexts. The field has its roots in a few basic selection principles that arose from the study of …

Almost disjoint families and topology

M Hrušák - Recent Progress in General Topology III, 2013 - Springer
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Mathias forcing and combinatorial covering properties of filters

D Chodounský, D Repovš, L Zdomskyy - The Journal of Symbolic …, 2015 - cambridge.org
MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS §1.
Introduction. A subset F of [ ] is called a filter if F c Page 1 The Journal of Symbolic Logic Volume …

[HTML][HTML] Malykhin's problem

M Hrušák, UA Ramos-García - Advances in Mathematics, 2014 - Elsevier
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Omission of intervals: deducing covering properties of subsets of the real line from their combinatorial structure

B Tsaban - arXiv preprint arXiv:2409.20518, 2024 - arxiv.org
We develop a method that we call\emph {omission of intervals}, for establishing topological
properties of subsets of the real line based on their combinatorial structure. Using this …

[PDF][PDF] The application of selection principles in the study of the properties of function spaces

AV Osipov - arXiv preprint arXiv:1701.00508, 2017 - arxiv.org
arXiv:1701.00508v5 [math.GN] 23 Oct 2017 Page 1 arXiv:1701.00508v5 [math.GN] 23 Oct 2017
The application of selection principles in the study of the properties of function spaces ✩ …

Selective covering properties of product spaces, II: 𝛾 spaces

A Miller, B Tsaban, L Zdomskyy - Transactions of the American …, 2016 - ams.org
Selective covering properties of product spaces, II: 𝛾 spaces Page 1 TRANSACTIONS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 368, Number 4, April 2016, Pages …

Selection principles and special sets of reals

B Tsaban - Open problems in topology II, 2007 - Elsevier
Publisher Summary This chapter provides an overview of selection principles and special
sets of reals. The field of selection principles in mathematics started with Scheepers' …

On productively Lindelöf spaces

FD Tall, B Tsaban - Topology and its Applications, 2011 - Elsevier
On productively Lindelöf spaces Page 1 Topology and its Applications 158 (2011) 1239–1248
Contents lists available at ScienceDirect Topology and its Applications www.elsevier.com/locate/topol …

[HTML][HTML] Selective covering properties of product spaces

AW Miller, B Tsaban, L Zdomskyy - Annals of Pure and Applied Logic, 2014 - Elsevier
We study the preservation of selective covering properties, including classic ones introduced
by Menger, Hurewicz, Rothberger, Gerlits and Nagy, and others, under products with some …