The quasitopos of b-uniform filter spaces

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ma_7_2_leseberg_vaziry_final.pdf (815.61 KB)

Date

2018

Authors

Leseberg, Dieter
Vaziry, Zohreh

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Referee

Mark

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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky

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Abstract

In this paper a systematic study begins of the category b-UFIL of b- uniform filter spaces and b-uniformly continuous mappings. We will show that this construct forms a quasitopos in which quotients are stable under products. Consequently, it is extremely useful for further studies in the realm of Bounded topology.

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Keywords

set-convergence , point-convergence , b-uniform filter space , b-filter space , com- pleteness , compactness , precompactness , topological construct , strong topological universe , bounded topology

Citation

Mathematics for Applications. 2018 vol. 7, č. 2, s. 155-171. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/7_2/ma_7_2_leseberg_vaziry_final.pdf

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Peer-reviewed

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en

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DOI

10.13164/ma.2018.13

URI

http://hdl.handle.net/11012/137319

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2018/2

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