G-Connectedness for Product Spaces
5th International Conference of Mathematical Sciences, ICMS 2021, İstanbul, Türkiye, 23 - 27 Haziran 2021, cilt.2483, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2483
- Doi Numarası: 10.1063/5.0115542
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Convergence sequences, G-sequential connectedness, product spaces
- Maltepe Üniversitesi Adresli: Evet
Özet
Sequential convergence is quite useful to define some topological notions. As a generalization of convergences of sequences a G-method is defined in [13] by Connor and Grosse-Erdmann to be a real valued function defined on a linear subspace of the vector space of all real sequences. Based on this definition some authors have introduced the concepts G-compactness and G-connectedness for topological groups. In this work we consider G-methods on product spaces; and characterise the G-connectedness of product topological spaces with some results.