2 results for Jiang, Shouli

  • Some results on Linearly Lindelof spaces

    Guo, Hongfeng; Jiang, Shouli (2006-11)

    Report
    The University of Auckland Library

    Some new results about linearly Lindelof spaces are given here. It is proved that if X is a space of countable spread and X=Y U Z, where Y and Z are meta-Lindelof spaces, then X is linearly Lindelof. Moreover, we give a positive answer to a problem raised by A.V. Arhangel'skii and R.Z. Buzyakova.

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  • On a Katuta-Junnila Problem

    Jiang, Shouli; Yin, Fazheng (1997-03)

    Report
    The University of Auckland Library

    We consider the Katuta-Junnila problem. 1. Is a space metacompact if every directed open cover of the space has a cushioned refinement? 2. Is a space submetacompact if every directed open cover of the space has a σ-cushioned refinement? We summarize some previous known partial results and present an affirmative answer to problem 1 in the class of strongly first countable spaces.

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