Combinatorics of open covers IV: Subspaces of the Alexandroff double of the unit interval

Marion Scheepers

doi:10.1016/s0166-8641(97)00073-4

Combinatorics of open covers IV: Subspaces of the Alexandroff double of the unit interval

Marion Scheepers

Mathematics Department

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We study topological games motivated by selection procedures for families of open sets. We establish a connection to strong measure zero sets, and answer a question of Tkachuk (1995).

Original language	English
Pages (from-to)	63-75
Number of pages	13
Journal	Topology and its Applications
Volume	83
Issue number	1
DOIs	https://doi.org/10.1016/s0166-8641(97)00073-4
State	Published - 1998

Keywords

Borel conjecture
Infinite game
Partition relation
Rothberger property
Strong measure zero set
Winning strategy
ω-cover

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10.1016/s0166-8641(97)00073-4

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title = "Combinatorics of open covers IV: Subspaces of the Alexandroff double of the unit interval",

abstract = "We study topological games motivated by selection procedures for families of open sets. We establish a connection to strong measure zero sets, and answer a question of Tkachuk (1995).",

keywords = "Borel conjecture, Infinite game, Partition relation, Rothberger property, Strong measure zero set, Winning strategy, ω-cover",

author = "Marion Scheepers",

year = "1998",

doi = "10.1016/s0166-8641(97)00073-4",

language = "English",

volume = "83",

pages = "63--75",

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T1 - Combinatorics of open covers IV

T2 - Subspaces of the Alexandroff double of the unit interval

AU - Scheepers, Marion

PY - 1998

Y1 - 1998

N2 - We study topological games motivated by selection procedures for families of open sets. We establish a connection to strong measure zero sets, and answer a question of Tkachuk (1995).

AB - We study topological games motivated by selection procedures for families of open sets. We establish a connection to strong measure zero sets, and answer a question of Tkachuk (1995).

KW - Borel conjecture

KW - Infinite game

KW - Partition relation

KW - Rothberger property

KW - Strong measure zero set

KW - Winning strategy

KW - ω-cover

UR - https://www.scopus.com/pages/publications/0040715545

U2 - 10.1016/s0166-8641(97)00073-4

DO - 10.1016/s0166-8641(97)00073-4

M3 - Article

AN - SCOPUS:0040715545

SN - 0016-660X

VL - 83

SP - 63

EP - 75

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Combinatorics of open covers IV: Subspaces of the Alexandroff double of the unit interval

Abstract

Keywords

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