Name: A topological notion of boundedness
Creator: Lambrinos, Panayotis
Keywords: 510.mathematics, Compactness, Fairly general properties of topological spaces, 0101 mathematics, 10. No inequality, 01 natural sciences, Article

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1973 English Publisher:Springer Science and Business Media LLCJournal:Manuscripta Mathematica, volume 10, pages 289-296 (issn: 0025-2611, eissn: 1432-1785,

Authors: Lambrinos, Panayotis;

doi: 10.1007/bf01332770

A topological notion of boundedness

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Abstract

A topological boundedness notion is studied, which is proved to be productive. Classical theorems on compactness of Tychonoff, Alexander and Obreanu are generalized. A boundedness operator is defined and studied. Finally, a classification of all topological spaces is obtained according to boundedness criteria.

Related Organizations

DigiZeitschriften
Germany
Aristotle University of Thessaloniki
Greece

Keywords

510.mathematics, Compactness, Fairly general properties of topological spaces, Article

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