Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019
,IN
David Gauld
The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland
,NZ
Keywords:
Finitistic, Boundedly Metacompact, Boundedly Paracompact, Star Order.
Abstract
In this paper we first show that the topological notion of boundedly metacompact (first named finitistic) is equivalent to metris - ability for a topological manifold, and then we study the related notions. In particular, we study the star order of covers of a space. This leads us to propose a definition of dimension which we call star covering dimension.