Concerning nearly metrizable spaces

M. N. Mukherjee, Dhananjoy Mandal
DOI: https://doi.org/10.4995/agt.2013.1583

Abstract

The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is achieved here as analogues of the corresponding ones for metrizable spaces. It is seen that near metrizability is a natural idea vis-a-vis near paracompactness, playing the similar role as played by paracompactness with regard to metrizability

Keywords

Regular open set; semiregularization space; almost regular space; nearly metrizable space; near paracompactness

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References

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