Weakly functionally $\Theta$- normal spaces, $\Theta$-shrinkingof covers and partition of unity

Authors

  • J.K. Kohli
  • A.K. Das
  • R. Kumar

DOI:

https://doi.org/10.1285/i15900932v19n2p293

Keywords:

$Theta$-closed set, $Theta$-open set, Weakly functionally $Theta$-normal space ($ = wf Theta$-normal space), $Theta$-limit point, $Theta$-continuos function, $Theta$-shrinking, Partition of unity

Abstract

Characterizations of weakly $\Theta$-normal spaces, similar to that of a normal space, are obtained and used to establish the existence of partition of unity subordinated to certain locally finile open covers.

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Published

01-01-1999

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Section

Articoli