Sequential definitions of connectedness
Applied Mathematics Letters, cilt.25, sa.3, ss.461-465, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 3
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.aml.2011.09.036
- Dergi Adı: Applied Mathematics Letters
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.461-465
- Anahtar Kelimeler: G-sequential closure, G-sequential connectedness, G-sequential continuity, Sequences, Summability
- Maltepe Üniversitesi Adresli: Evet
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⊆U∪V. Sequential connectedness in a topological group is a special case of this generalization when G=lim. © 2011 Elsevier Ltd. All rights reserved.