G-sequentially connectedness for topological groups with operations

MUCUK O., Cakalli H.

3rd International Conference on Analysis and Applied Mathematics (ICAAM), Almaty, Kazakistan, 7 - 10 Eylül 2016, cilt.1759 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1759
  • Doi Numarası: 10.1063/1.4959652
  • Basıldığı Şehir: Almaty
  • Basıldığı Ülke: Kazakistan
  • Erciyes Üniversitesi Adresli: Evet

Özet

It is a well-known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by l i m from the set of all convergent sequences in X to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing l i m with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. Recently some authors have extended the concept to the topological group setting and introduced the concepts of G-sequential continuity, G-sequential compactness and G-sequential connectedness.