Idealization of a decomposition theorem
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Tarih
2004
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AKADEMIAI KIADO
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 1986, Tong [13] proved that a function f : (X, tau) --> (Y, phi) is continuous if and only if it is alpha-continuous and A-continuous. We extend this decomposition of continuity in terms of ideals. First, we introduce the notions of regular-I-closed sets, A(I)-sets and A(I)-continuous functions in ideal topological spaces and investigate their properties. Then, we show that a function f : (X, 7, 1) --> (Y, phi) is continuous if and only if it is alpha-I-continuous and A(I)-continuous.
Açıklama
Anahtar Kelimeler
decomposition of continuity, topological ideal, regular closed set, A-set, regular-I-closed set, A(I)-set
Kaynak
ACTA MATHEMATICA HUNGARICA
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
102
Sayı
4
