G-Connectedness for Product Spaces

MUCUK O., Behram S., Çakallı H.

5th International Conference of Mathematical Sciences, ICMS 2021, İstanbul, Turkey, 23 - 27 June 2021, vol.2483 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2483
  • Doi Number: 10.1063/5.0115542
  • City: İstanbul
  • Country: Turkey
  • Keywords: Convergence sequences, G-sequential connectedness, product spaces
  • Kayseri University Affiliated: No

Abstract

© 2022 American Institute of Physics Inc.. All rights reserved.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.