Meenakshi, P. L. and Sudha, R.
(2022)
*J-Closed Functions via J-Closed Sets in Topological Spaces.*
In:
Novel Research Aspects in Mathematical and Computer Science Vol. 4.
B P International, pp. 89-98.
ISBN 978-93-5547-728-6

## Abstract

In this article, J-closed functions using the concept of J-closed sets and J-open functions using the notion of J-open sets are initiated. The interrelationships of these newly introduced functions with various existing functions are examined and its properties are analysed.The composition of two J-closed function need not be a J-closed function which is proved by Counter Example.The J-closed functions are used to define homeomorphisms using J-closed sets in topological spaces.Homeomorphisms are the isomorphisms in the category of topological spaces-that is, they are the mappings that preserve all the topological properties of a given space.

The study of J-closed functions has been done by the following methods:

Analytical method of comparing J-closed functions with other existing closed functions.

Obtaining counter examples wherever necessary to substantiate the result.

Interpreting the results as diagrams.

Analysis of preservation of topological properties by J-closed functions.

Item Type: | Book Section |
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Subjects: | Eprint Open STM Press > Mathematical Science |

Depositing User: | Unnamed user with email admin@eprint.openstmpress.com |

Date Deposited: | 10 Oct 2023 05:55 |

Last Modified: | 10 Oct 2023 05:55 |

URI: | http://library.go4manusub.com/id/eprint/1286 |