Geodesic
New structure of paracompact spaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 545-550.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, g$^*\omega\alpha$-expandable spaces}.
Mots-clés : \hbox{g$^*\omega\alpha$-paracompact 
@article{JSFU_2022_15_4_a12,
     author = {Pallavi S. Mirajakar and P. G. Patil and Md Hanif Page},
     title = {New structure of paracompact spaces},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {545--550},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a12/}
}
TY  - JOUR
AU  - Pallavi S. Mirajakar
AU  - P. G. Patil
AU  - Md Hanif Page
TI  - New structure of paracompact spaces
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2022
SP  - 545
EP  - 550
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a12/
LA  - en
ID  - JSFU_2022_15_4_a12
ER  - 
%0 Journal Article
%A Pallavi S. Mirajakar
%A P. G. Patil
%A Md Hanif Page
%T New structure of paracompact spaces
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2022
%P 545-550
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a12/
%G en
%F JSFU_2022_15_4_a12
Pallavi S. Mirajakar; P. G. Patil; Md Hanif Page. New structure of paracompact spaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 545-550. http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a12/

[1] K.Y.Al-Zoubi, “S-paracompact Spaces”, Acta. Math. Hungar., 110 (2006), 165–174 | DOI

[2] A.V.Arkhangelski, V.I.Ponomarev, Fundamentals of General Topology Problems and Exercises, Hindustan Pub. Corp., Delhi, 1966

[3] N.Bourbaki, General Topology, v. I, Addison Wesley, Reading Mass, 1966

[4] D.K.Burke, Covering Properties, Handbook of Set Theoretic Topology, eds. K. Kunen, J. Vanghan, North Holland Press, Amsterdam, 1984

[5] L.L.Krajewski, “On Expanding Locally Finite Collections”, Canad. Jl. Math., 23 (1971), 58–68

[6] A.S.Mashhour, M.E.Abd El-Monsef, I.A.Hasanein, “On Pretopological Spaces”, Bulletin Mathematique de la Societe des Sciences Mathematiques de la Republique Socialiste de roumanie, 28(76):1 (1984), 39–45

[7] P.G.Patil, S.S.Benchalli, P.S.Mirajakar, “Generalized Star $\omega\alpha$-Closed Sets in Topological Spaces”, J. of New Results in Science, 9 (2015), 37–45

[8] P.G.Patil, S.S.Benchalli, P.S.Mirajakar, “Generalizations of Some New Continuous Functions in Topological Spaces”, Scientia Magna, 11:2 (2016), 83–96

[9] P.G.Patil, S.S.Benchalli, P.S.Mirajakar, “$g^*\omega\alpha$-separation Axioms in Topological Spaces”, Malaya Jl. of Mathematik, 05:2 (2017), 428–441

[10] P.G.Patil, S.S.Benchalli, P.S. Mirajakar, $g^*\omega\alpha$-Compact Spaces in Topological Spaces, Communicated

[11] A.P.Pears, On Dimension Theory of General Spaces, Cambridge Univ. Press, 1975

[12] S.Willard, General Topology, Addison Wesley Publishing Company, 1970