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New structure of paracompact spaces
Pallavi S. Mirajakara, P. G. Patilb, Md Hanif Pagec
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}.
Received: 18.02.2022
Received in revised form: 28.02.2022
Accepted: 09.06.2022
Citation:
Pallavi S. Mirajakar, P. G. Patil, Md Hanif Page, “New structure of paracompact spaces”, J. Sib. Fed. Univ. Math. Phys., 15:4 (2022), 545–550
Linking options:
https://www.mathnet.ru/eng/jsfu1020 https://www.mathnet.ru/eng/jsfu/v15/i4/p545
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