• Title/Summary/Keyword: hereditary Lindelof

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ON THE DUALITY OF THE SPACE X AND THE ALGEBRA $C_p$(X)

  • Park, Sung-Ki
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.717-722
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    • 1999

  • The set of continuous maps of a space X to real usual space R equipped with the toplogy of pointwise convergence will be denoted by $C_p$(X). In this paper, we prove that; $C_p$(X) is hereditarily separable and hereditary Lindelof if and only if $X^n$ is hereditarily separable and hereditary Lindelof.

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