A generalization of normal spaces

V. Renuka Devi; D. Sivaraj

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 4, page 265-270
  • ISSN: 0044-8753

Abstract

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A new class of spaces which contains the class of all normal spaces is defined and its characterization and properties are discussed.

How to cite

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Renuka Devi, V., and Sivaraj, D.. "A generalization of normal spaces." Archivum Mathematicum 044.4 (2008): 265-270. <http://eudml.org/doc/250463>.

@article{RenukaDevi2008,
abstract = {A new class of spaces which contains the class of all normal spaces is defined and its characterization and properties are discussed.},
author = {Renuka Devi, V., Sivaraj, D.},
journal = {Archivum Mathematicum},
keywords = {$\mathcal \{I\}$-regular; codense ideal; $\mathcal \{I\}$-compact; $\mathcal \{I\}$-paracompact; -regular; codense ideal; -compact; -paracompact},
language = {eng},
number = {4},
pages = {265-270},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A generalization of normal spaces},
url = {http://eudml.org/doc/250463},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Renuka Devi, V.
AU - Sivaraj, D.
TI - A generalization of normal spaces
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 4
SP - 265
EP - 270
AB - A new class of spaces which contains the class of all normal spaces is defined and its characterization and properties are discussed.
LA - eng
KW - $\mathcal {I}$-regular; codense ideal; $\mathcal {I}$-compact; $\mathcal {I}$-paracompact; -regular; codense ideal; -compact; -paracompact
UR - http://eudml.org/doc/250463
ER -

References

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  1. Hamlett, T. R., Jancović, D., Compactness with respect to an ideal, Boll. Un. Mat. Ital. B (7) 4 (1990), 849–861. (1990) MR1086708
  2. Hamlett, T. R., Jancović, D., 10.1111/j.1749-6632.1994.tb44132.x, Ann. New York Acad. Sci. 728 (1994), 41–49. (1994) MR1467761DOI10.1111/j.1749-6632.1994.tb44132.x
  3. Jancović, D., Hamlett, T. R., 10.2307/2324512, Amer. Math. Monthly 97 (4) (1990), 295 – 310. (1990) MR1048441DOI10.2307/2324512
  4. Kuratowski, K., Topology, Vol. I, Academic Press, New York, 1966. (1966) Zbl0158.40901MR0217751
  5. Newcomb, R. L., Topologies which are compact modulo an ideal, Ph.D. thesis, University of Cal. at Santa Barbara, 1967. (1967) 
  6. Renukadevi, V., Sivaraj, D., Tamizh Chelvam, T., Codense and Completely codense ideals, Acta Math. Hungar. 108 (3) (2005), 197–205. (2005) MR2162560
  7. Steen, L. A., Seebach, J. A., Counterexamples in Topology, Springer-Verlag, New York, 1978. (1978) Zbl0386.54001MR0507446
  8. Vaidyanathaswamy, R., The localization theory in set topology, Proc. Indian Acad. Sci. Math. Sci. 20 (1945), 51–61. (1945) MR0010961
  9. Vaidyanathaswamy, R., Set Topology, Chelsea Publishing Company, 1946. (1946) MR0115151
  10. Zahid, M. I., Para-H-closed spaces, locally para-H-closed spaces and their minimal topologies, Ph.D. thesis, Univ. of Pittsburgh, 1981. (1981) 

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