Application on local discrete expansion

The process of changing a topology by some types of its local discrete expansion preserves s-closeness, S-closeness, semi-compactness, semi-Ti, semi-Ri, i∈{0,1,2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms t...

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Main Authors: M. E. Abd El-Monsef, A. M. Kozae, A. A. Abo Khadra
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296001032
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author M. E. Abd El-Monsef
A. M. Kozae
A. A. Abo Khadra
author_facet M. E. Abd El-Monsef
A. M. Kozae
A. A. Abo Khadra
author_sort M. E. Abd El-Monsef
collection DOAJ
description The process of changing a topology by some types of its local discrete expansion preserves s-closeness, S-closeness, semi-compactness, semi-Ti, semi-Ri, i∈{0,1,2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.
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publishDate 1996-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-dc5c8dc15c4f4c1db11e4312e9cf55e12025-08-20T03:23:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119474775010.1155/S0161171296001032Application on local discrete expansionM. E. Abd El-Monsef0A. M. Kozae1A. A. Abo Khadra2Department of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptDepartment of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptDepartment of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptThe process of changing a topology by some types of its local discrete expansion preserves s-closeness, S-closeness, semi-compactness, semi-Ti, semi-Ri, i∈{0,1,2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.http://dx.doi.org/10.1155/S0161171296001032Near open setslocal discrete expansionextremely disconnected semi-compacts-closedS-closedsemi-Tisemi-Riand cid spaces.
spellingShingle M. E. Abd El-Monsef
A. M. Kozae
A. A. Abo Khadra
Application on local discrete expansion
International Journal of Mathematics and Mathematical Sciences
Near open sets
local discrete expansion
extremely disconnected
semi-compact
s-closed
S-closed
semi-Ti
semi-Ri
and cid spaces.
title Application on local discrete expansion
title_full Application on local discrete expansion
title_fullStr Application on local discrete expansion
title_full_unstemmed Application on local discrete expansion
title_short Application on local discrete expansion
title_sort application on local discrete expansion
topic Near open sets
local discrete expansion
extremely disconnected
semi-compact
s-closed
S-closed
semi-Ti
semi-Ri
and cid spaces.
url http://dx.doi.org/10.1155/S0161171296001032
work_keys_str_mv AT meabdelmonsef applicationonlocaldiscreteexpansion
AT amkozae applicationonlocaldiscreteexpansion
AT aaabokhadra applicationonlocaldiscreteexpansion