The T0-reflection in the category V-PreTop
| dc.contributor.author | Lazaar, Sami | |
| dc.contributor.author | Mhemdi, Abdelwaheb | |
| dc.contributor.author | Tahri, Randa | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 9 | cs |
| dc.date.accessioned | 2020-10-07T07:19:51Z | |
| dc.date.available | 2020-10-07T07:19:51Z | |
| dc.date.issued | 2020 | cs |
| dc.description.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. | en |
| dc.format | text | cs |
| dc.format.extent | 43-53 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2020 vol. 9, č. 1, s. 43-53. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2020.04 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/195181 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_lazaar_et_al_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.subject | pretopological spaces, reflective subcategories, separation axioms | en |
| dc.title | The T0-reflection in the category V-PreTop | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
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