Study of α*-Homeomorphisms by α*-closed Sets

K. Vithyasangaran; P. Elango

doi:10.9734/air/2019/v19i330127

Research Article Open access CC BY 4.0

Study of α-Homeomorphisms by α-closed Sets

K. Vithyasangaran, P. Elango

Advances in Research · pp. 1–6 · Published 26 Jun 2019

10.9734/air/2019/v19i330127

Abstract

In this paper, we introduce a new kind of closed sets called α* -closed sets in a topological space and investigate their properties. These closed sets are compared with the closed sets and the generalized closed sets. We also introduce the α* -homeomorphisms and develop their properties by using the α* -closed maps and α* -continuous maps.

g-closed set g-continuous function g-irresolute map g-homeomorphism.

Cited by 1

α∗-compactness and α∗-connectedness in topological spaces

K. Vithyasangaran · 2020

Access this article

View at publisher

Cite this article

K. Vithyasangaran, P. Elango (2019). Study of α*-Homeomorphisms by α*-closed Sets. Advances in Research , 1–6. https://doi.org/10.9734/air/2019/v19i330127

Affiliations

K. Vithyasangaran — Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
P. Elango — Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.

Metrics

0
Views: 0
Downloads: 1
Citations: 0
Outbound

Full metrics

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

1

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.