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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 532=21, 2017.

Original scientific paper

https://doi.org/10.21857/90836cdw6y

Bornological structures on many-valued sets

Alexander Šostak ; Department of Mathematics, University of Latvia, LV-1002 Riga, Latvia
Ingrīda Uļjane ; Department of Mathematics, University of Latvia, LV-1002 Riga, Latvia

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page 143-168

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Abstract

We introduce an approach to the concept of bornology in the framework of many-valued mathematical structures and develop the basics of the theory of many-valued bornological spaces and initiate the study of the category of many-valued bornological spaces and appropriately defined bounded "mappings" of such spaces. A scheme for constructing many-valued bornologies with prescribed properties is worked out. In particular, this scheme allows to extend an ordinary bornology of a metric space to a many-valued bornology on it.

Keywords

Bornology; quantale; many-valued mathematical structures; many-valued bornology; fuzzy set

Hrčak ID:

186435

URI

https://hrcak.srce.hr/186435

Publication date:

13.9.2017.

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