The Journal of the Indian Mathematical Society

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Boundedly Metacompact or Finitistic Spaces and the Star Order of Covers


Affiliations
1 Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019, India
2 The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland, New Zealand
     

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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.

Keywords

Finitistic, Boundedly Metacompact, Boundedly Paracompact, Star Order.
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  • Boundedly Metacompact or Finitistic Spaces and the Star Order of Covers

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Authors

Satya Deo
Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019, India
David Gauld
The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland, New Zealand

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.

Keywords


Finitistic, Boundedly Metacompact, Boundedly Paracompact, Star Order.

References