On the category of ordered pre-topological spaces

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dc.contributor.authorAbbassi, Mouldi
dc.contributor.authorLazaar, Sami
dc.contributor.authorMhemdi, Abdelwaheb
dc.coverage.issue1cs
dc.coverage.volume11cs
dc.date.accessioned2022-06-23T12:18:23Z
dc.date.available2022-06-23T12:18:23Z
dc.date.issued2022cs
dc.description.abstractA pre-topological space equipped with an order is called an ordered pre- topological space. These spaces form the objects of a category which will be de- noted by OVPT. The arrows of this category are certain increasing maps called V -continuous. Essentially, we will prove that the subcategory of ordered pre- topological spaces of type T0, OVPT0, is reflective in OVPT. We introduce and study some new separation axioms and characterize the class of morphisms orthog- onal to the objects of OVPT0.en
dc.formattextcs
dc.format.extent1-11cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2022 vol. 11, č. 1, s. 1-11. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2022.01en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/207739
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/11_1/ma_11_1_abbassi_lazaar_mhemdi_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.subjectordered topological space
dc.subjectquasi-homeomorphism
dc.subjectT0-ordered topological space
dc.titleOn the category of ordered pre-topological spacesen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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