Sequential definitions of connectedness
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
PERGAMON-ELSEVIER SCIENCE LTD
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We investigate the impact of changing the definition of convergence of sequences on the structure of the set of connected subsets of a topological group, X. A non-empty subset A of X is called G-sequentially connected if there are no non-empty and disjoint G-sequentially closed subsets U and V, both meeting A, such that A subset of U boolean OR V. Sequential connectedness in a topological group is a special case of this generalization when G = lim. (C) 2011 Published by Elsevier Ltd
Açıklama
Anahtar Kelimeler
Sequences, Summability, G-sequential closure, G-sequential continuity, G-sequential connectedness
Kaynak
APPLIED MATHEMATICS LETTERS
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
25
Sayı
3