A unified approach to generalized continuities
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Contribution 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.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Matejdes, M. (2009). A unified approach to generalized continuities. Maltepe Üniversitesi. s. 271.
