Published 2025-08-08
DOI:
https://doi.org/10.71712/Keywords
- MCP-Space,
- \(wN-\) Spaces,
- \(; k_c\beta\text{-space};\)
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Ge, X. (2025). On Some Questions of \(wN-\) Spaces. Scientia Series A: Mathematical Sciences, 14, 17-20. https://doi.org/10.71712/
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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