# ${g}^{*}$-closed sets and a new separation axiom in Alexandroff spaces

Pratulananda Das; Md. Mamun Ar Rashid

Archivum Mathematicum (2003)

- Volume: 039, Issue: 4, page 299-307
- ISSN: 0044-8753

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topDas, Pratulananda, and Rashid, Md. Mamun Ar. "$g^\ast $-closed sets and a new separation axiom in Alexandroff spaces." Archivum Mathematicum 039.4 (2003): 299-307. <http://eudml.org/doc/249140>.

@article{Das2003,

abstract = {In this paper we introduce the concept of $g^\{\ast \}$-closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called $T_\{w\}$-axiom in the Alexandroff spaces with the help of $g^\{\ast \}$-closed sets and investigate some of its consequences.},

author = {Das, Pratulananda, Rashid, Md. Mamun Ar},

journal = {Archivum Mathematicum},

keywords = {space; $g^\{\ast \}$-closed sets; $g^\{\ast \}$-open sets; $T_\{w\}$-space; generalized closed sets},

language = {eng},

number = {4},

pages = {299-307},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {$g^\ast $-closed sets and a new separation axiom in Alexandroff spaces},

url = {http://eudml.org/doc/249140},

volume = {039},

year = {2003},

}

TY - JOUR

AU - Das, Pratulananda

AU - Rashid, Md. Mamun Ar

TI - $g^\ast $-closed sets and a new separation axiom in Alexandroff spaces

JO - Archivum Mathematicum

PY - 2003

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 039

IS - 4

SP - 299

EP - 307

AB - In this paper we introduce the concept of $g^{\ast }$-closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called $T_{w}$-axiom in the Alexandroff spaces with the help of $g^{\ast }$-closed sets and investigate some of its consequences.

LA - eng

KW - space; $g^{\ast }$-closed sets; $g^{\ast }$-open sets; $T_{w}$-space; generalized closed sets

UR - http://eudml.org/doc/249140

ER -

## References

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