On a stronger form of hereditary compactness in product spaces

Simple item page
dc.creatorDontchev, Julian
dc.creatorGanster, Maximilian
dc.date1998-10-30
dc.date.accessioned2026-07-07T05:26:39Z
dc.date.available2026-07-07T05:26:39Z
dc.descriptionThe 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/9810174
dc.identifierhttp://arxiv.org/abs/math/9810174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77628
dc.subjectGeneral Topology
dc.subject54B10; 54D30; 54A05; 54G99
dc.titleOn a stronger form of hereditary compactness in product spaces
dc.typetext

Files

Collections

arXiv