MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On some new characterizations of near paracompactness and associated results
M. N. Mukherjee and Dhananjoy Mandal

Abstract

Near paracompactness is a concept, in Set Topology, which is weaker than paracompactness; in this paper, several characterizations of this concept have been enunciated and proved. In the process, several tools have been utilized. The main theorem uses the selection theory of Michael.

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Keywords: Near paracompactness; almost regularity; regular open set; semiregularization; strongly lower semicontinuous carrier.

MSC: 54D20, 54C65, 54D99

Pages:  334$-$345     

Volume  65 ,  Issue  3 ,  2013