|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.
finitistic, boundedly metacompact, boundedly paracompact, star order
Math Review Classification
Primary 54D20 ; Secondary 54E35, 54F45
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