On-iαw – Closed-Sets and -iαw – Continuous Functions : On-iαw – Closed-Sets and -iαw – Continuous Functions

sabih qaqos; Beyda-S. Abdullah Abdullah

doi:10.24237/ASJ.02.04.841B

Authors

sabih qaqos university of mosul
Beyda-S. Abdullah Abdullah

DOI:

https://doi.org/10.24237/ASJ.02.04.841B

Keywords:

iαw- closed set, iw- closed set, iαw- continuous function, iw- continuous function, w- continuous function

Abstract

The first goal in this essay will explain the notation of iαw- closed sets and iαw- open sets in topological space. Many properties and relationships among those sets are investigated. We also discovered that there is no relationship between iαw- closed sets and α- closed, i- closed, iα- closed sets. Additionally, we start by teaching the ideas of , prefectly,

, and obtain the basic properties. Also, we prove that each in any topological space is in any topological space is and there is no relationship between as well as some of its features. Finally, we concluded that every it is , every continuous iscontinuous and every continuous function is.

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On-iαw – Closed-Sets and -iαw – Continuous Functions