Concerning nearly metrizable spaces

M. N. Mukherjee

India

University of Calcutta

Dhananjoy Mandal

India

University of Calcutta

Submitted: 2013-07-11

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Accepted: 2013-07-11

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Published: 2013-07-21

DOI: https://doi.org/10.4995/agt.2013.1583
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Keywords:

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

Supporting agencies:

This research was not funded

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
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