Finite Unions of -Spaces and Applications of Nearly Good Relation

Xin Zhang, Hongfeng Guo and Yuming Xu

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-4

Abstract:

Some results are obtained on finite unions of -spaces. It is proved that if a space is the union of finitely many locally compact -subspaces, then it is a -space. It follows that a space is a -space if it is the union of finitely many locally compact submetacompact subspaces. And a space is a -space if it is the union of a -subspace with a locally compact -subspace. This partially answers one problem raised by Arhangel’skii. At last, some examples are given to exhibit the applications of nearly good relation to discover -classes.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:808262

DOI: 10.1155/2013/808262

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