On countably nearly paracompact spaces

Authors

  • M. N. Mukherjee Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author
  • Dhananjoy Mandal Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author

Keywords:

Near paracompactness, countable near paracompactness, semi nearly normal space, regular open set, $\delta$-open set

Subjects:

54D20, 54D99

Abstract

The idea of countable near paracompactness of a topological space, as a natural offshoot of the well known concept of nearparacompactness, is introduced and investigated in this article. In the process, the notion of semi nearly normal spaces is initiated. Apart from itscharacterizations, semi near normality is used for the investigation of countably nearly paracompact spaces.

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Published

2014-07-15