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p-Closed Topological Spaces in Terms of Grills

Yıl 2006, Cilt: 35 Sayı: 2, 147 - 154, 01.02.2006

Öz

The concept of p-closedness, a kind of covering property for topological spaces, has already been studied with meticulous care from different angles and via different approaches. In this paper, we continue the said investigation in terms of a different concept viz. grills. The deliberations in the article include certain characterizations and a few necessary conditions for the p-closedness of a space, the latter conditions are also shown to be equivalent to p-closedness in a pre-almost regular space.All these and the associated discussions and results are done with grills as the prime supporting tool.

Kaynakça

  • Abo-Khadra, Abd. El-Aziz Ahemed. On generalized forms of compactness, (Master’s thesis, Faculty of Science, Taunta University, Egypt, 1989).
  • Choquet, G. Sur les notions de Filtre et grille, Comptes Rendus Acad. Sci. Paris 224, 171–173, 1947.
  • Dontchev, J., Ganster, M. and Noiri, T. On p-closed spaces, Internat. Jour. Math. Math. Sci. 24 (3), 203–212, 2000.
  • Jankovic, D., Reilly, I. and Vamanamurthy, M. On strongly compact topological space, Ques- tion and Answers Gen. Top. 6 (1), 29–40, 1988.
  • Mukherjee, M. N., Debray, A. and Sinha, P. p-closedness in topological spaces, Revista De La Academia Canaria De Ciencias, XII (Nos. 1-2), 33–50, 2000.
  • Mukherjee, M. N., Roy, B. and Sinha, P. Concerning p-closed topological spaces, Revista De La Academia Canaria De Ciencias, XIV (Nos. 1-2), 9–23, 2002.
  • Pal, M. C. and Bhattacharyya, P. Feeble and strong forms of preirresolute functions, Bull. Malaysian Math. Soc. (2), 63–75, 1996.
  • Thron, W. J. Proximity structure and grills, Math. Ann. 206, 35–62, 1973.
  • Velicko, N. V. H-closed topological spaces, Amer. Math. Soc. Transl. 78, 103–118, 1968.

p-CLOSED TOPOLOGICAL SPACES IN TERMS OF GRILLS

Yıl 2006, Cilt: 35 Sayı: 2, 147 - 154, 01.02.2006

Öz

Kaynakça

  • Abo-Khadra, Abd. El-Aziz Ahemed. On generalized forms of compactness, (Master’s thesis, Faculty of Science, Taunta University, Egypt, 1989).
  • Choquet, G. Sur les notions de Filtre et grille, Comptes Rendus Acad. Sci. Paris 224, 171–173, 1947.
  • Dontchev, J., Ganster, M. and Noiri, T. On p-closed spaces, Internat. Jour. Math. Math. Sci. 24 (3), 203–212, 2000.
  • Jankovic, D., Reilly, I. and Vamanamurthy, M. On strongly compact topological space, Ques- tion and Answers Gen. Top. 6 (1), 29–40, 1988.
  • Mukherjee, M. N., Debray, A. and Sinha, P. p-closedness in topological spaces, Revista De La Academia Canaria De Ciencias, XII (Nos. 1-2), 33–50, 2000.
  • Mukherjee, M. N., Roy, B. and Sinha, P. Concerning p-closed topological spaces, Revista De La Academia Canaria De Ciencias, XIV (Nos. 1-2), 9–23, 2002.
  • Pal, M. C. and Bhattacharyya, P. Feeble and strong forms of preirresolute functions, Bull. Malaysian Math. Soc. (2), 63–75, 1996.
  • Thron, W. J. Proximity structure and grills, Math. Ann. 206, 35–62, 1973.
  • Velicko, N. V. H-closed topological spaces, Amer. Math. Soc. Transl. 78, 103–118, 1968.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

M. N. Mukherjee Bu kişi benim

B. Roy Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2006
Yayımlandığı Sayı Yıl 2006 Cilt: 35 Sayı: 2

Kaynak Göster

APA Mukherjee, M. N., & Roy, B. (2006). p-Closed Topological Spaces in Terms of Grills. Hacettepe Journal of Mathematics and Statistics, 35(2), 147-154.
AMA Mukherjee MN, Roy B. p-Closed Topological Spaces in Terms of Grills. Hacettepe Journal of Mathematics and Statistics. Şubat 2006;35(2):147-154.
Chicago Mukherjee, M. N., ve B. Roy. “P-Closed Topological Spaces in Terms of Grills”. Hacettepe Journal of Mathematics and Statistics 35, sy. 2 (Şubat 2006): 147-54.
EndNote Mukherjee MN, Roy B (01 Şubat 2006) p-Closed Topological Spaces in Terms of Grills. Hacettepe Journal of Mathematics and Statistics 35 2 147–154.
IEEE M. N. Mukherjee ve B. Roy, “p-Closed Topological Spaces in Terms of Grills”, Hacettepe Journal of Mathematics and Statistics, c. 35, sy. 2, ss. 147–154, 2006.
ISNAD Mukherjee, M. N. - Roy, B. “P-Closed Topological Spaces in Terms of Grills”. Hacettepe Journal of Mathematics and Statistics 35/2 (Şubat 2006), 147-154.
JAMA Mukherjee MN, Roy B. p-Closed Topological Spaces in Terms of Grills. Hacettepe Journal of Mathematics and Statistics. 2006;35:147–154.
MLA Mukherjee, M. N. ve B. Roy. “P-Closed Topological Spaces in Terms of Grills”. Hacettepe Journal of Mathematics and Statistics, c. 35, sy. 2, 2006, ss. 147-54.
Vancouver Mukherjee MN, Roy B. p-Closed Topological Spaces in Terms of Grills. Hacettepe Journal of Mathematics and Statistics. 2006;35(2):147-54.