The quasitopos of b-uniform filter spaces

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ma_7_2_leseberg_vaziry_final.pdf(815.61 KB)
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2018
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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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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
DOI
10.13164/ma.2018.13
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http://hdl.handle.net/11012/137319
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2018/2
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