Absolutely strongly star-Hurewicz spaces

Yan-Kui Song

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 26-32, electronic only
  • ISSN: 2391-5455

Abstract

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A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.

How to cite

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Yan-Kui Song. "Absolutely strongly star-Hurewicz spaces." Open Mathematics 13.1 (2015): 26-32, electronic only. <http://eudml.org/doc/268823>.

@article{Yan2015,
abstract = {A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.},
author = {Yan-Kui Song},
journal = {Open Mathematics},
keywords = {Selection principles; Starcompact; acc; Strongly star-Menger; Absolutely strongly star-Menger; Strongly star-Hurewicz; Absolutely strongly star-Hurewicz; Alexandroff duplicate; countably compact; starcompact; strongly star-Menger; absolutely strongly star-Menger; strongly star-Hurewicz; absolutely strongly star-Hurewicz},
language = {eng},
number = {1},
pages = {26-32, electronic only},
title = {Absolutely strongly star-Hurewicz spaces},
url = {http://eudml.org/doc/268823},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Yan-Kui Song
TI - Absolutely strongly star-Hurewicz spaces
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 26
EP - 32, electronic only
AB - A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.
LA - eng
KW - Selection principles; Starcompact; acc; Strongly star-Menger; Absolutely strongly star-Menger; Strongly star-Hurewicz; Absolutely strongly star-Hurewicz; Alexandroff duplicate; countably compact; starcompact; strongly star-Menger; absolutely strongly star-Menger; strongly star-Hurewicz; absolutely strongly star-Hurewicz
UR - http://eudml.org/doc/268823
ER -

References

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