IJPAM: Volume 74, No. 3 (2012)

CHARACTERIZATIONS OF
A PARTITION TOPOLOGY ON A SET

Vijeta Iyer$^1$C-478, Shahpura Bhopal, 462016, INDIA, Kiran Shrivastava$^2$
Department of Mathematics
S.N.G.G.P.G. College
Bhopal, INDIA
$^2$D/79, Nehru Nagar Bhopal, 462003, INDIA


Abstract. In this paper three characterizations of a partition topology on a set X are obtained respectively in terms of clopen sets, interior of any subset of X and order of every element of X.

Received: June 26, 2011

AMS Subject Classification: 54A99

Key Words and Phrases: partition topology, clopen set, order of an element, order of a set, identification space

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 3