A unified approach to generalized continuities

Basit Öğe Kaydı
dc.contributor.authorMatejdes, Milan
dc.date.accessioned2024-07-12T20:56:11Z
dc.date.available2024-07-12T20:56:11Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractContribution deals with a concept which covers many known types of continuities. Method is based on stating appropriate system E of subsets on domain. The first motivation for introducing comes from definition of quasi continuity. Namely, a mapping f : X ? Y is E-continuous at x, if for any open sets V and U such that x ? U and f(x) ? V , there is a set E ? E, such that E ? U ? f ?1 (V ). The next, stronger variant, is generalization of continuity. A function f is dense E-continuous at x, if for any open set V containing f(x), there is an open set U 3 x, such that for any open set H ? U, there is a set E ? E such that E ? H ? f ?1 (V ). When E is system of all non-empty open sets, it is equivalent to the notion of quasi continuity or (dense variant) ?-continuity. Using different systems E, we are able to describe many types of continuities. Approach is used in function as well as multifunction setting.en_US
dc.identifier.citationMatejdes, M. (2009). A unified approach to generalized continuities. Maltepe Üniversitesi. s. 271.en_US
dc.identifier.endpage272en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage271en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2939
dc.institutionauthorMatejdes, Milan
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07663
dc.titleA unified approach to generalized continuitiesen_US
dc.typeConference Object
dspace.entity.typePublication

Dosyalar

Koleksiyon

İnsan ve Toplum Bilimleri Fakültesi Koleksiyonu