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On k-Spaces and k R -Spaces

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Abstract

In this note we study the relation between k R -spaces and k-spaces and prove that a k R -space with a σ-hereditarily closure-preserving k-network consisting of compact subsets is a k-space, and that a k R -space with a point-countable k-network consisting of compact subsets need not be a k-space.

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Authors and Affiliations

  1. Dept. of Math., Zhangzhou Teachers College, Zhangzhou, Fujian, 36300, P.R. China

    Jinjin Li

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  1. Jinjin Li
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Additional information

This work was supported by the NSF of China (10271056).

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Li, J. On k-Spaces and k R -Spaces. Czech Math J 55, 941–945 (2005). https://doi.org/10.1007/s10587-005-0078-x

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  • DOI: https://doi.org/10.1007/s10587-005-0078-x

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