Original scientific paper

A generalization of paracompactness in terms of grills

Bishwambhar Roy ; Department of Mathematics, Women's Christian College 6,Greek Church Row, India
Manabendra Nath Mukherjee ; Department of Pure Mathematics, University of Calcutta 35,Ballygunge Circular Road, India

Abstract

In this paper we initiate a generalized form of paracompactness
via grills. We shall also define a grill-dependent regularity
axiom on a topological space. From our results in such a
generalized perspective, E. Michael's famous theorem on regular
paracompactness and certain other results like ``a $T_2$
paracompact space is regular" will follow as special cases.

Keywords

grill; grincipal grill; $\mathcal{G}$-paracompactness; $\mathcal{G}$-regularity

Hrčak ID:

37355

URI

https://hrcak.srce.hr/37355

Publication date:

3.6.2009.

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