ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES

Authors : Julian DONTCHEV, Maximilian GANSTER

Pages : 45-51

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Publication Date : 2005-01-01

Article Type : Research Paper

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