1. Some properties of relatively strong pseudocompactness
- Creator:
- Zhang, Guo-Fang
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- relative topological properties, pseudocompact spaces, and compact space
- Language:
- English
- Description:
- In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space $X$ and a subspace $Y$ satisfy that $Y\subset \overline {{\rm Int} Y}$ and $Y$ is strongly pseudocompact and metacompact in $X$, then $Y$ is compact in $X$. We also give an example to demonstrate that the condition $Y\subset \overline {{\rm Int} Y}$ can not be omitted.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public