On a stronger form of hereditary compactness in product spaces

Details On a stronger form of hereditary compactness in product spaces On a stronger form of hereditary compactness in product spaces

1998-10-30

arxiv.org/abs/math/9810174v1

Mathematics

General Topology

9 pages

Scientific paper

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 sg-compact, 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.

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