Almost g ˜ α -closed functions and separation axioms

O. Ravi; S. Ganesan; R. Latha

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 3, page 275-291
  • ISSN: 0862-7959

Abstract

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We introduce a new class of functions called almost g ˜ α -closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost g ˜ α -closed continuous surjections.

How to cite

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Ravi, O., Ganesan, S., and Latha, R.. "Almost $\tilde{g}_\alpha $-closed functions and separation axioms." Mathematica Bohemica 137.3 (2012): 275-291. <http://eudml.org/doc/246740>.

@article{Ravi2012,
abstract = {We introduce a new class of functions called almost $\tilde\{g\}_\{\alpha \}$-closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost $\tilde\{g\}_\{\alpha \}$-closed continuous surjections.},
author = {Ravi, O., Ganesan, S., Latha, R.},
journal = {Mathematica Bohemica},
keywords = {topological space; $\tilde\{g\}$-closed set; $\tilde\{g\}_\{\alpha \}$-closed set; $\alpha g$-closed set; topological space; -closed set; -closed set; -closed set},
language = {eng},
number = {3},
pages = {275-291},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Almost $\tilde\{g\}_\alpha $-closed functions and separation axioms},
url = {http://eudml.org/doc/246740},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Ravi, O.
AU - Ganesan, S.
AU - Latha, R.
TI - Almost $\tilde{g}_\alpha $-closed functions and separation axioms
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 3
SP - 275
EP - 291
AB - We introduce a new class of functions called almost $\tilde{g}_{\alpha }$-closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost $\tilde{g}_{\alpha }$-closed continuous surjections.
LA - eng
KW - topological space; $\tilde{g}$-closed set; $\tilde{g}_{\alpha }$-closed set; $\alpha g$-closed set; topological space; -closed set; -closed set; -closed set
UR - http://eudml.org/doc/246740
ER -

References

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