Boundedly Metacompact or Finitistic Spaces and the Star Order of Covers

Satya Deo and David Gauld

Abstract

After showing that the topological notion of boundedly metacompact (first named finitistic) is
equivalent to metrisability for a topological manifold we then study 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.

Keywords
finitistic, boundedly metacompact, boundedly paracompact, star order

Math Review Classification
Primary 54D20 ; Secondary 54E35, 54F45

Last Updated
22/3/99

Length
15 pages

Availability
This article is available in: