Some Results on Fibrewise Topological Spaces

Main Article Content

Y.Y. Yousif

Abstract

In this paper we define and study new concepts of functions on fibrewise  topological spaces  over  B namely,  fibrewise  weakly  (resp., closure, strongly) continuoac; funttions which are analogous of weakly


(resp., closure,   strongly)   continuous  functions   and  the  main  result is   : Let  <p       : XY  be a fibrewise  closure  (resp.,  weakly,  closure, strongly,  strongly) continuous function,  where  Y  is fibrewise topological  space  over  B and  X  is  a  fibrewise set  which  has  the


induced  fibrewise topology. If for each fibrewise  topological  space  Z, a fibrewise  function  \jl  : z x is weakly  (resp.,  continuous, closure, closure,  weakly),  then the composition q>O'fl  : z  Y is weakly (resp.•


weakly, closure,  strongly,  continuous). Also, we define  and study  the concepts   fibrewise  ro-closed  (resp.,  ro·coclosed, (i}·biclosed, ID·open, co-coopen, ro·biopen) topological  spaces over B which is similar  of definition of fibrewise c1osed (resp., open) topological  spaces over B; also  we state  and prove  several  propositions concerning   with  these concepts.

Article Details

How to Cite
Some Results on Fibrewise Topological Spaces. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 21(2), 118-132E. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1395
Section
Mathematics

How to Cite

Some Results on Fibrewise Topological Spaces. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 21(2), 118-132E. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1395