The T0-reflection in the category V-PreTop
Loading...
Date
2020
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
Altmetrics
Abstract
AV-pretopological space is a pair(X, a)whereXis a nonempty set andais aP(X)self map satisfyinga(∅) =∅,A⊆a(A)anda(A∪B) =a(A)∪a(B)foranyA, B∈ P(X). It is well known that the categoryTopof topological spaces isa reflective subcategory in the categoryV-PreTopwhose objects are pretopologicalspaces of typeV. In the present paper we give the construction of theT0-reflectionin the categoryV-PreTop. Hence, some new separation axioms are introducedand characterized. Finally, the orthogonal of some subcategories are studied.
Description
Citation
Mathematics for Applications. 2020 vol. 9, č. 1, s. 43-53. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_lazaar_et_al_final.pdf
http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_lazaar_et_al_final.pdf
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky