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A Partition of Finite T0 Topologies

Published online by Cambridge University Press:  20 November 2018

Shawpawn Kumar Das
Shawpawn Kumar Das*
Affiliation:
10 Raja Dinendra Street, Calcutta, 700009, India
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The aim of this paper is to study a decomposition of finite T0 spaces into topological entities called chains and cells. These objects behave like complete units under homeomorphisms and they appear to be useful in investigating certain aspects of finite spaces. As an elementary illustration of how these entities can be used, the concept of an A2 space is introduced (in the next paragraph) and it is demonstrated that the order of the automorphism group of an A2 space is expressible as 2t, for some t ≧ 0.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 6 , December 1973 , pp. 1137 - 1147
Copyright
Copyright © Canadian Mathematical Society 1973