Sequential definitions of compactness

Küçük Resim Yok

Tarih

2008

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

ScienceDirect

Erişim Hakkı

info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

A subset of a topological space is sequentially compact if any sequence of points in has a convergent subsequence whose limit is in . We say that a subset of a topological group is -sequentially compact if any sequence of points in has a convergent subsequence such that where is an additive function from a subgroup of the group of all sequences of points in . We investigate the impact of changing the definition of convergence of sequences on the structure of sequentially compactness of sets in the sense of -sequential compactness. Sequential compactness is a special case of this generalization when .

Açıklama

Anahtar Kelimeler

Kaynak

Applied Mathematics Letters

WoS Q Değeri

Scopus Q Değeri

Cilt

21

Sayı

6

Künye

Çakallı, H. (2008). Sequential definitions of compactness. Applied Mathematics Letters. ScienceDirect. 21(6), 594-598.