A technique for constructing examples

van Douwen, Eric K.

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The box product of countably many metrizable spaces need not be normal

Eric van Douwen (1975)

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On a problem of Katětov

Wage, M. L.

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Addition theorems and $D$ -spaces

Aleksander V. Arhangel&#039;skii, Raushan Z. Buzyakova (2002)

Commentationes Mathematicae Universitatis Carolinae

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It is proved that if a regular space $X$ is the union of a finite family of metrizable subspaces then $X$ is a $D$ -space in the sense of E. van Douwen. It follows that if a regular space $X$ of countable extent is the union of a finite collection of metrizable subspaces then $X$ is Lindelöf. The proofs are based on a principal result of this paper: every space with a point-countable base is a $D$ -space. Some other new results on the properties of spaces which are unions of a finite collection of...

On some generalizations of LC-spaces.

Dontchev, J., Ganster, M., Kanibir, A. (1999)

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On the metrizability of $F_{p} p$ -spaces and its relationship to the normal Moore space conjecture

Z. Balogh (1981)

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Displaying similar documents to “A technique for constructing examples”

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Addition theorems and $D$ -spaces

On the metrizability of $F_{p} p$ -spaces and its relationship to the normal Moore space conjecture