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
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