ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES

Julian Dontchev; Maximilian Ganster

Research Article

ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES

Year 2005, Volume: 34 , 45 - 51, 01.01.2005

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

sg-compact, Hereditarily compact, C2-space, Semi-open, sg-open, sgclosed, hsg-closed

References

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Year 2005, Volume: 34 , 45 - 51, 01.01.2005

Julian Dontchev Maximilian Ganster

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Statistics
Authors	Julian Dontchev This is me Maximilian Ganster This is me
Publication Date	January 1, 2005
Published in Issue	Year 2005 Volume: 34

Cite

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.
AMA	Dontchev J, Ganster M. ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics. January 2005;34:45-51.
Chicago	Dontchev, Julian, and Maximilian Ganster. “ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES”. Hacettepe Journal of Mathematics and Statistics 34, January (January 2005): 45-51.
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	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, 2005.
ISNAD	Dontchev, Julian - Ganster, Maximilian. “ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES”. Hacettepe Journal of Mathematics and Statistics 34 (January 2005), 45-51.
JAMA	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, 2005, pp. 45-51.
Vancouver	Dontchev J, Ganster M. ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES. Hacettepe Journal of Mathematics and Statistics. 2005;34:45-51.