map Lindelof and some properties of space

Authors

  • Adnan Zarif
  • Braa Afisa

Abstract

Let be a topological space , we say that is   iff every Lindelof  subspace  of is closed in.

In this paper we will present some properties of the Lindelof  space, and then  introduce some concepts that help us to prove some of the properties of.

And we introduce a new concept of  K- map Lindelof , then we find the necessary  conditions that make each K-map Lindelof is k-map.

we find the conditions on the function  that make the direct image of is    , and finally we have found the conditions on the function that make the inverse image of  is   ,with the knowledge that the two issues are not investigated in general.

 

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Published

2019-07-02

How to Cite

1.
Zarif A, Afisa B. map Lindelof and some properties of space . TUJ-BA [Internet]. 2019Jul.2 [cited 2024Dec.29];41(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/8817

Issue

Vol. 41 No. 3 (2019): العلوم الأساسية

Section

Articles

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