International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 10, Pages 679-688
doi:10.1155/S0161171201002794
Tautness and applications of the Alexander-Spanier cohomology of K-types
1Department of Mathematics, Faculty of Science, Ain-Shams University, Abbasia, Cairo, Egypt
2The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
3Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 14466, Jeddah 21424, Saudi Arabia
Received 5 February 1999
Copyright © 2001 Abd El-Sattar A. Dabbour and Rola A. Hijazi. 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.
Abstract
The aim of the present work is centered around the tautness
property for the two K-types of Alexander-Spanier cohomology
given by the authors. A version of the continuity property is
proved, and some applications are given.