On the closure of one point sets in T0-spaces

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dc.contributor.authorDovgoshey, Oleksiy
dc.contributor.authorShanin, Ruslan
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id515570412
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/515570412
dc.date.accessioned2026-04-24T18:00:16Z
dc.description.abstract<p>Let X be a set and 2X be a set of all subsets of X. The necessary and sufficient conditions under which a mapping X → 2X is a closure of one-point sets in some T0-space (X, τ) are described. It is proved that every T0-Alexandroff space is quasimetrizable by some equidistant quasi-metrics.</p>
dc.identifier.eissn1879-3207
dc.identifier.jour-issn0166-8641
dc.identifier.urihttps://www.utupub.fi/handle/11111/59129
dc.identifier.urlhttps://doi.org/10.1016/j.topol.2026.109756
dc.identifier.urnURN:NBN:fi-fe2026022315594
dc.language.isoen
dc.okm.affiliatedauthorDovgoshey, Oleksiy
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherElsevier BV
dc.publisher.countryNetherlandsen_GB
dc.publisher.countryAlankomaatfi_FI
dc.publisher.country-codeNL
dc.relation.articlenumber109756
dc.relation.doi10.1016/j.topol.2026.109756
dc.relation.ispartofjournalTopology and its Applications
dc.relation.volume382
dc.titleOn the closure of one point sets in T0-spaces
dc.year.issued2026

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