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Currently displaying 1 – 4 of 4

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Countable-points compactifications for metric spaces

Takao Hoshina — 1979

Fundamenta Mathematicae

Products of normal spaces with Lašnev spaces

Takao Hoshina — 1984

Fundamenta Mathematicae

P-embedding and product spaces

Kiiti Morita; Takao Hoshina — 1976

Fundamenta Mathematicae

Relative normality and product spaces

Takao Hoshina; Ryoken Sokei — 2003

Commentationes Mathematicae Universitatis Carolinae

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 $X ∖ A$ 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...

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