Geodesic
Remarks on star countable discrete closed spaces
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 2, pp. 451-460 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $2^{\aleph _0}=2^{\aleph _1}$, there exists a normal absolutely star countable discrete closed space having a regular-closed subspace which is not star countable.
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 $2^{\aleph _0}=2^{\aleph _1}$, there exists a normal absolutely star countable discrete closed space having a regular-closed subspace which is not star countable.
DOI : 10.1007/s10587-013-0029-x
Classification : 54D20
Keywords: pseudocompact; normal; Tychonoff; star countable; absolutely star countable; star countable discrete closed; absolutely star countable discrete closed space 
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     title = {Remarks on star countable discrete closed spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {451--460},
     year = {2013},
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     language = {en},
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Song, Yan-Kui. Remarks on star countable discrete closed spaces. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 2, pp. 451-460. doi: 10.1007/s10587-013-0029-x

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