Open AccessOn -Homeomorphisms In Topological Spaces
Author(s) -
Mamta Rani,
S. Pious Missier
Publication year - 2017
Publication title -
journal of mathematical sciences and computer applications
Language(s) - English
Resource type - Journals
ISSN - 2158-933X
DOI - 10.5147/jmsca.v1i2.92
Subject(s) - homeomorphism (graph theory) , class (philosophy) , mathematics , topological space , set (abstract data type) , pure mathematics , topology (electrical circuits) , composition (language) , discrete mathematics , combinatorics , computer science , artificial intelligence , linguistics , philosophy , programming language
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.