Vol. 14 (2007)
Articles

On Some Questions of \(wN-\) Spaces

Xun Ge
Department of Mathematics, Suzhou University, Suzhou 215006, P.R.China

Published 2007-02-01

Keywords

  • MCP-Space,
  • \(wN-\) Spaces,
  • \(; k_c\beta\text{-space};\)

How to Cite

On Some Questions of \(wN-\) Spaces. (2007). Scientia Series A: Mathematical Sciences, 14, 17-20. https://revistas.usm.cl/scientia/article/view/91

Abstract

 In this paper, we show that a quotient space obtained from the butterfly space is a separable, MCP-space and is not a \(wN-\) Spaces, which answers a question on \(wN-\) Spaces negatively. We also prove that a locally countably compact space X is an MCP-space if and only if it is a \( k_c\beta\text{-space}\), which give a partial answer for a question on MCP-spaces. 

 

 

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