IJPAM: Volume 104, No. 4 (2015)

ON THE SIMPLE EXPANSION OF
GENERALIZED TOPOLOGIES

P.M. Dhanya$^1$, P.T. Ramachandran$^2$
$^{1,2}$Department of Mathematics
University of Calicut
Thenjipalam P.O., Malappuram, Kerala, 673635, INDIA


Abstract. In this paper we characterized upper neighbors of a generalized topology in the lattice $LGT(X,L)$, of generalized topologies on a fixed set $X$ and investigated the properties of simple expansion.

Received: August 16, 2015

AMS Subject Classification: 54A05, 06B30

Key Words and Phrases: generalized topology, simple expansion, upper neighbor, $\mu-T_{o}, \mu-T_{1}, \mu-T_{2}, \mu-$regular, $\mu-$normal, $\mu-$second countable and $\mu-$separable

Download paper from here.



DOI: 10.12732/ijpam.v104i4.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 4
Pages: 621 - 630


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).