The quasitopos of b-uniform filter spaces
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.
Keywords
set-convergence, point-convergence, b-uniform filter space, b-filter space, com- pleteness, compactness, precompactness, topological construct, strong topological universe, bounded topologyPersistent identifier
http://hdl.handle.net/11012/137319Document type
Peer reviewedDocument version
Final PDFSource
Mathematics for Applications. 2018 vol. 7, č. 2, s. 155-171. ISSN 1805-3629http://ma.fme.vutbr.cz/archiv/7_2/ma_7_2_leseberg_vaziry_final.pdf
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