Remarks on Star-Hurewicz Spaces

Yan-Kui Song

Bulletin of the Polish Academy of Sciences. Mathematics (2013)

  • Volume: 61, Issue: 3, page 247-255
  • ISSN: 0239-7269

Abstract

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A space X is star-Hurewicz if for each sequence (𝒰ₙ: n ∈ ℕ) of open covers of X there exists a sequence (𝓥ₙ: n ∈ ℕ) such that for each n, 𝓥ₙ is a finite subset of 𝒰ₙ, and for each x ∈ X, x ∈ St(⋃ 𝓥ₙ,𝒰ₙ) for all but finitely many n. We investigate the relationship between star-Hurewicz spaces and related spaces, and also study topological properties of star-Hurewicz spaces.

How to cite

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Yan-Kui Song. "Remarks on Star-Hurewicz Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 61.3 (2013): 247-255. <http://eudml.org/doc/286098>.

@article{Yan2013,
abstract = {A space X is star-Hurewicz if for each sequence (𝒰ₙ: n ∈ ℕ) of open covers of X there exists a sequence (𝓥ₙ: n ∈ ℕ) such that for each n, 𝓥ₙ is a finite subset of 𝒰ₙ, and for each x ∈ X, x ∈ St(⋃ 𝓥ₙ,𝒰ₙ) for all but finitely many n. We investigate the relationship between star-Hurewicz spaces and related spaces, and also study topological properties of star-Hurewicz spaces.},
author = {Yan-Kui Song},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {selection principles; strongly starcompact; starcompact; star-Hurewicz; strongly star-Hurewicz},
language = {eng},
number = {3},
pages = {247-255},
title = {Remarks on Star-Hurewicz Spaces},
url = {http://eudml.org/doc/286098},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Yan-Kui Song
TI - Remarks on Star-Hurewicz Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 3
SP - 247
EP - 255
AB - A space X is star-Hurewicz if for each sequence (𝒰ₙ: n ∈ ℕ) of open covers of X there exists a sequence (𝓥ₙ: n ∈ ℕ) such that for each n, 𝓥ₙ is a finite subset of 𝒰ₙ, and for each x ∈ X, x ∈ St(⋃ 𝓥ₙ,𝒰ₙ) for all but finitely many n. We investigate the relationship between star-Hurewicz spaces and related spaces, and also study topological properties of star-Hurewicz spaces.
LA - eng
KW - selection principles; strongly starcompact; starcompact; star-Hurewicz; strongly star-Hurewicz
UR - http://eudml.org/doc/286098
ER -

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