The Combinatorics of Open Covers

Sakai, Masami; Scheepers, Marion

doi:10.2991/978-94-6239-024-9_18

Cited by 39 publications

(34 citation statements)

References 128 publications

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“…Several covering properties of topological spaces are characterized by the Baumgartner-Taylor partition relation (see [7,10,11]). We will see now the situation in texture spaces.…”

Section: Ramsey Theoretic Approachmentioning

confidence: 99%

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Selection properties of texture structures

Kočinac

Özçağ

2015

Topology and its Applications

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Dedicated to Professor Ofelia T. Alas on the occasion of her 70th birthday MSC: primary 54D20 secondary 05C55, 54A05, 54H12, 91A44The aim of this paper is to begin with study of selection principles in texture and ditopological texture spaces and to establish relationships between these selection principles and other covering properties of texture or ditopological spaces. We also investigate the behavior of the properties under consideration under standard operations with ditopological spaces.

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“…Several covering properties of topological spaces are characterized by the Baumgartner-Taylor partition relation (see [7,10,11]). We will see now the situation in texture spaces.…”

Section: Ramsey Theoretic Approachmentioning

confidence: 99%

“…For more information about selection principles and games in topological spaces see the survey papers [7,10,11], and in bitopological spaces the papers [8,9].…”

Section: Introductionmentioning

confidence: 99%

Selection properties of texture structures

Kočinac

Özçağ

2015

Topology and its Applications

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“…Many topological properties are defined or characterized in terms of the following classical selection principles ( [4,17,19]). Let A and B be sets consisting of families of subsets of an infinite set X.…”

Section: Introductionmentioning

confidence: 99%

Selectors for sequences of subsets of hyperspaces

Osipov

2020

Topology and its Applications

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For a Hausdorff space X we denote by 2 X the family of all closed subsets of X. In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. We investigate selectors for sequence of subsets of the space 2 X with the Z +topology and the upper Fell topology (F + -topology). Also we consider the selection properties of the bitopological space (2 X , F + , Z + ).

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“…A space X is said to be Menger [16] (or, [31]) (X satisfies S f in (O, O)) if for every sequence (U n : n ∈ N) of open covers of X, there are finite subfamilies V n ⊂ U n such that {V n : n ∈ N} is a cover of X.…”

Section: Introductionmentioning

confidence: 99%

Indestructibly productively Lindelöf and Menger function spaces

Osipov

2020

Topology and its Applications

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The Combinatorics of Open Covers

Cited by 39 publications

References 128 publications

Selection properties of texture structures

Selection properties of texture structures

Selectors for sequences of subsets of hyperspaces

Indestructibly productively Lindelöf and Menger function spaces

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