• 제목/요약/키워드: the topology of pointwise convert gence

검색결과 1건 처리시간 0.222초

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

  • Park, Sung-Ki
    • 대한수학회보
    • /
    • 제36권4호
    • /
    • pp.717-722
    • /
    • 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.

  • PDF