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Advances in Fuzzy Systems
Volume 2009, Article ID 172917, 5 pages
Research Article

Relative Smooth Topological Spaces

Department of Mathematics, Faculty of Science, Lorestan University, P.O. Box 465, Khoramabad 68137-17133, Iran

Received 22 June 2009; Accepted 10 November 2009

Academic Editor: Zne-Jung Lee

Copyright © 2009 B. Ghazanfari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.