Displaying similar documents to “Countable Decompositions of R2 and R3 .”

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J.E. Goodman, R. Pollack (1993)

Discrete & computational geometry

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Remarks on star countable discrete closed spaces

Yan-Kui Song (2013)

Czechoslovak Mathematical Journal

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In this paper, we prove the following statements: (1) There exists a Tychonoff star countable discrete closed, pseudocompact space having a regular-closed subspace which is not star countable. (2) Every separable space can be embedded into an absolutely star countable discrete closed space as a closed subspace. (3) Assuming 2 0 = 2 1 , there exists a normal absolutely star countable discrete closed space having a regular-closed subspace which is not star countable.