Metrization of additive 𝜅-metric spaces

Author:

Isiwata Takesi

Abstract

We prove that an additive κ \kappa -metric space X X is metrizable if X X is one of the following: (1) X X is pseudocompact, (2) X X is a w M wM -space, (3) X X is a paracompact β \beta -space, especially stratifiable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. Metrization of topological spaces;Bing, R. H.;Canad. J. Math.,1951

2. On stratifiable spaces;Borges, Carlos J. R.;Pacific J. Math.,1966

3. On metrizability of topological spaces;Borges, Carlos J. R.;Canadian J. Math.,1968

4. Some generalizations of metric spaces;Ceder, Jack G.;Pacific J. Math.,1961

5. Concerning semi-stratifiable spaces;Creede, Geoffrey D.;Pacific J. Math.,1970

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