On wgrα - Homeomorphisms in Topological Spaces
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 5, Issue 1
Abstract
A bijection f: (X, τ) → (Y, σ) is called weakly generalized regular α- homeomorphism if f and f-1are wgrα-continuous. Also we introduce the new class of maps, namely wgrαc-homeomorphisms which form a subclass of wgrα-homeomorphisms. This class of maps is closed under composition of maps. We prove that the set of all wgrαc-homeomorphisms forms a group under the operation composition of maps.
Authors and Affiliations
S. Sakthivel , N. Uma
Keywords
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