International Journal of Nonlinear Analysis and Applications

Fibrewise totally compact and locally totally compact spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), Baghdad University, Baghdad, Iraq

2 Department of Mathematics, College of Education for Pure Science, Ibn AL-Haitham, University of Baghdad, Baghdad-Iraq.

Abstract

In this paper we define and study new concepts of fibrwise totally topological spaces over B namely fibrewise totally compact and fibrwise locally totally compact spaces, which are generalization of well known concepts totally compact and locally totally compact topological spaces. Moreover, we study relationships between fibrewise totally compact (resp, fibrwise locally totally compact) spaces and some fibrewise totally separation axioms.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 939-948
  • Receive Date: 08 April 2021
  • Revise Date: 15 May 2021
  • Accept Date: 20 May 2021