Unbounded Convergence in Cp(X, [0, 1])

Creative Commons License

Demir E.

2nd International E-Conference on Mathematical and Statistical Science: A Selcuk Meeting, Konya, Turkey, 5 - 07 June 2023, pp.82

  • Publication Type: Conference Paper / Summary Text
  • City: Konya
  • Country: Turkey
  • Page Numbers: pp.82
  • Yıldız Technical University Affiliated: Yes


Cp(X, [0, 1]) denotes the space of all continuous [0,1] valued functions on a Tychonoff Space. In this talk, I will give some
characterizations of unbounded convergent nets or sequences in space Cp(X, [0, 1]). Also, it will be shown that a sequence
unbounded order converges if it converges pointwise on a co-meagre set.