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math.GNJan 7, 2012
81
citations (OpenAlex)
authors
  • Ljubisa D. R. Kocinac
arXiv abstractPDF
paper

Selected results on selection principles

arXiv:1201.1576

Abstract

We review some selected recent results concerning selection principles in topology and their relations with several topological constructions.

34 pages

References in corpus (1)

  • The Reznichenko property and the Pytkeev property in hyperspaces

Cited by in corpus (19)

  • Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
  • Selective covering properties of product spaces
  • Products of Menger spaces in the Miller model
  • The combinatorics of the Baer-Specker group
  • Pointwise convergence of partial functions: The Gerlits-Nagy Problem
  • Selection Games and the Vietoris Space
  • Squares of Menger-bounded groups
  • Superfilters, Ramsey theory, and van der Waerden's Theorem
  • Selection Principles and special sets of reals: Open problems
  • The combinatorics of tau-covers
  • Selection Games on Hyperspaces
  • Selection Games on Continuous Functions
  • Selectively (a)-spaces from almost disjoint families are necessarily countable under a certain parametrized weak diamond principle
  • Translation Results for Some Star-Selection Games
  • Additivity of the Gerlits--Nagy property and concentrated sets
  • Further observations on bornological covering properties and selection principles
  • Projective versions of the properties in the Scheepers Diagram
  • The functional characteristics of the Rothberger and Menger properties
  • Classification of selectors for sequences of dense sets of Cp(X)
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