Pallavi S. Mirajakar, P. G. Patil, Md Hanif Page, “New structure of paracompact spaces”, J. Sib. Fed. Univ. Math. Phys., 2022, Volume 15, Issue 4,Pages <nobr>545

New structure of paracompact spaces

Pallavi S. Mirajakar^a, P. G. Patil^b, Md Hanif Page^c

^a Department of Mathematics P.C.Jabin Science College, Vidyanagar, Hubballi, Karnataka state, India
^b Department of Mathematics Karnatak University,, Dharwad, Karnataka State, India
^c Department of Mathematics, KLE Technological University, Vidyanagar, Hubballi, Karnataka state, India

Abstract: In this paper author introduce and study the new class of paracompact spaces called g$^*\omega\alpha$-paracompact spaces as a generalization of paracompact spaces. Authors characterize g$^*\omega\alpha$-paracompact spaces and study their some of their basic properties.

Keywords: g$^*\omega\alpha$-closed sets, g$^*\omega\alpha$-locally finite collection, \hbox{g$^*\omega\alpha$-paracompact, g$^*\omega\alpha$-expandable spaces}.

UDC: 515

Received: 18.02.2022
Received in revised form: 28.02.2022
Accepted: 09.06.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-4-545-550