On   -Homeomorphisms In Topological Spaces

  • M. Gilbert Rani Post Graduate Department of Mathematics, V.O.C. College, Tuticorin, India
  • S. Pious Missier Post Graduate Department of Mathematics, V.O.C. College, Tuticorin, India
Keywords:  -closed sets,   -open sets,   - continuous function,   - irresolute map,  -g-closed set,   -homeomorphism,   - homeomorphism.

Abstract

In this paper, we first introduce a new class of closed map called   -closed map. Moreover, we introduce a new class of homeomorphism called   - Homeomorphism, which are weaker than homeomorphism. We also introduce 
 - Homeomorphisms and prove that the set of all   - Homeomorphisms form a group under the operation of composition of maps.
2000 Math Subject Classification: 54C08, 54D05.

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Published
2017-06-10
Section
Articles