Concerning nearly metrizable spaces

Authors

  • M. N. Mukherjee University of Calcutta
  • Dhananjoy Mandal University of Calcutta

DOI:

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

Keywords:

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

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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References

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Published

2013-07-21

How to Cite

[1]
M. N. Mukherjee and D. Mandal, “Concerning nearly metrizable spaces”, Appl. Gen. Topol., vol. 14, no. 2, pp. 135–145, Jul. 2013.

Issue

Section

Regular Articles