International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 81497, 14 pages

Local homogeneity in fuzzy topological spaces

Samer Al Ghour

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan

Received 11 May 2005; Revised 13 February 2006; Accepted 12 March 2006

Copyright © 2006 Samer Al Ghour. 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.


Three types of local homogeneity in L-topological spaces are introduced and studied, and each is characterized and proved to be a good extension of local homogeneity in ordinary topological spaces. Many implications concerning them are introduced. The study deals with the L-topologically generated topological spaces.