On wgrα - Homeomorphisms in Topological Spaces

  IJMTT-book-cover
 
International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2014 by IJMTT Journal
Volume-5                          
Year of Publication : 2014
Authors : S.Sakthivel,N.Uma
  10.14445/22315373/IJMTT-V5P507

citation

S.Sakthivel , N.Uma Article:On wgrα - Homeomorphisms in Topological Spaces, International Journal of Mathematical Trends and Technology (IJMTT),V5:10-15 January 2014. Published by Seventh Sense Research Group.

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.

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Keywords
wgrα-closed set, wgrα-open set, wgrα-continuous mapping, wgrα-homeomorphism, wgrαc-homeomorphism.