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A note on g -metrizable spaces

Jinjin Li (2003)

Czechoslovak Mathematical Journal

In this paper, the relationships between metric spaces and g -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.

A note on -spaces and g -metrizable spaces

Zhaowen Li (2005)

Czechoslovak Mathematical Journal

In this paper, we give the mapping theorems on -spaces and g -metrizable spaces by means of some sequence-covering mappings, mssc-mappings and π -mappings.

A note on topological groups and their remainders

Liang-Xue Peng, Yu-Feng He (2012)

Czechoslovak Mathematical Journal

In this note we first give a summary that on property of a remainder of a non-locally compact topological group G in a compactification b G makes the remainder and the topological group G all separable and metrizable. If a non-locally compact topological group G has a compactification b G such that the remainder b G G of G belongs to 𝒫 , then G and b G G are separable and metrizable, where 𝒫 is a class of spaces which satisfies the following conditions: (1) if X 𝒫 , then every compact subset of the space X is a...

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