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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.

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Authors and Affiliations

  1. Department of Mathematics, Aristotelian University of Thessaloniki, Thessaloniki, Greece

    Panayotis Lambrinos

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  1. Panayotis Lambrinos
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The author is grateful to prof. N. Oeconomidis, who suggested the topic, for his continuous interest.

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Lambrinos, P. A topological notion of boundedness. Manuscripta Math 10, 289–296 (1973). https://doi.org/10.1007/BF01332770

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  • DOI: https://doi.org/10.1007/BF01332770

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