### Countable-points compactifications for metric spaces

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Back to Simple Search
# Advanced Search

Arhangel’skiĭ defines in [Topology Appl. 70 (1996), 87–99], as one of various notions on relative topological properties, strong normality of $A$ in $X$ for a subspace $A$ of a topological space $X$, and shows that this is equivalent to normality of ${X}_{A}$, where ${X}_{A}$ denotes the space obtained from $X$ by making each point of $X\setminus A$ isolated. In this paper we investigate for a space $X$, its subspace $A$ and a space $Y$ the normality of the product ${X}_{A}\times Y$ in connection with the normality of ${(X\times Y)}_{(A\times Y)}$. The cases for paracompactness, more...

**Page 1**