Research Article

ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES

Volume: 34 January 1, 2005
  • Julian Dontchev
  • Maximilian Ganster
EN

ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES

Abstract

The aim of this paper is to continue the study of sg-compact spaces. The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces. In our paper we shall consider sg-compactness in product spaces. Our main result says that if a product space is sgcompact, then either all factor spaces are finite, or exactly one factor space is infinite and sg-compact and the remaining ones are finite and locally indiscrete. 

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Julian Dontchev This is me

Maximilian Ganster This is me

Publication Date

January 1, 2005

Submission Date

February 20, 2004

Acceptance Date

December 16, 2004

Published in Issue

Year 2005 Volume: 34

APA
Dontchev, J., & Ganster, M. (2005). ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics, 34, 45-51. https://izlik.org/JA36RG92SM
AMA
1.Dontchev J, Ganster M. ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics. 2005;34:45-51. https://izlik.org/JA36RG92SM
Chicago
Dontchev, Julian, and Maximilian Ganster. 2005. “ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES”. Hacettepe Journal of Mathematics and Statistics 34 (January): 45-51. https://izlik.org/JA36RG92SM.
EndNote
Dontchev J, Ganster M (January 1, 2005) ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics 34 45–51.
IEEE
[1]J. Dontchev and M. Ganster, “ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 34, pp. 45–51, Jan. 2005, [Online]. Available: https://izlik.org/JA36RG92SM
ISNAD
Dontchev, Julian - Ganster, Maximilian. “ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES”. Hacettepe Journal of Mathematics and Statistics 34 (January 1, 2005): 45-51. https://izlik.org/JA36RG92SM.
JAMA
1.Dontchev J, Ganster M. ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics. 2005;34:45–51.
MLA
Dontchev, Julian, and Maximilian Ganster. “ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 34, Jan. 2005, pp. 45-51, https://izlik.org/JA36RG92SM.
Vancouver
1.Julian Dontchev, Maximilian Ganster. ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2005 Jan. 1;34:45-51. Available from: https://izlik.org/JA36RG92SM