Boundedly Metacompact or Finitistic Spaces and the Star Order of Covers

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Authors

  • Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019 ,IN
  • 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.