Relative Smooth Topological Spaces

Relative Smooth Topological Spaces

In 1992, Ramadan introduced the concept of a smooth topological space and relativeness between smooth topological space and fuzzy topological space in Chang's (1968) view points. In this paper we give a new definition of smooth topological space. This definition can be considered as a generaliz...

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Main Author: B. Ghazanfari
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2009/172917
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spelling doaj-f0605831a33f46bdb7fd886cb1e5bbfb2020-11-24T21:26:46ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2009-01-01200910.1155/2009/172917172917Relative Smooth Topological SpacesB. Ghazanfari0Department of Mathematics, Faculty of Science, Lorestan University, P.O. Box 465, Khoramabad 68137-17133, IranIn 1992, Ramadan introduced the concept of a smooth topological space and relativeness between smooth topological space and fuzzy topological space in Chang's (1968) view points. In this paper we give a new definition of smooth topological space. This definition can be considered as a generalization of the smooth topological space which was given by Ramadan. Some general properties such as relative smooth continuity and relative smooth compactness are studied.http://dx.doi.org/10.1155/2009/172917
collection DOAJ
language English
format Article
sources DOAJ
author B. Ghazanfari
spellingShingle B. Ghazanfari
Relative Smooth Topological Spaces
Advances in Fuzzy Systems
author_facet B. Ghazanfari
author_sort B. Ghazanfari
title Relative Smooth Topological Spaces
title_short Relative Smooth Topological Spaces
title_full Relative Smooth Topological Spaces
title_fullStr Relative Smooth Topological Spaces
title_full_unstemmed Relative Smooth Topological Spaces
title_sort relative smooth topological spaces
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2009-01-01
description In 1992, Ramadan introduced the concept of a smooth topological space and relativeness between smooth topological space and fuzzy topological space in Chang's (1968) view points. In this paper we give a new definition of smooth topological space. This definition can be considered as a generalization of the smooth topological space which was given by Ramadan. Some general properties such as relative smooth continuity and relative smooth compactness are studied.
url http://dx.doi.org/10.1155/2009/172917
work_keys_str_mv AT bghazanfari relativesmoothtopologicalspaces
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