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

Abd el-Sattar A. Dabbour1 and Rola A. Hijazi2

1Department of Mathematics, Faculty of Science, Ain-Shams University, Abbasia, Cairo, Egypt
2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 14466, Jeddah 21424, Saudi Arabia

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.