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Inverse limits of hereditarily almost expandable class

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Abstract

In this paper, the hereditarily almost expandability of inverse limits is investigated, with two results obtained. Let X be the inverse limit space of an inverse system {X α , π α β , Λ}. (1) Suppose X is hereditarily κ-metacompact, if each X α is hereditarily pointwise collectionwise normal (almost θ-expandable, almost discrete θ-expandable), then so is X; (2) Suppose X is hereditarily κ-σ-metacompact, if each X α is hereditarily almost σ-expandable (almost discrete σ-expandable = σ-pointwise collectionwise normal), then so is X.

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Authors and Affiliations

  1. Dept. of Math., Kashgar Teacher’s College, Kashgar, 844007, China

    Bin Zhao

  2. Dept. of Math. & Informatics, Faculty of Science, Chiba Univ., Chiba, 263 - 8522, Japan

    Bin Zhao

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  1. Bin Zhao
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Correspondence to Bin Zhao.

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Supported by the Scientific Fund of the Educational Committee of Xinjiang of China (XJEDU2004158)

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Zhao, B. Inverse limits of hereditarily almost expandable class. Appl. Math. J. Chin. Univ. 24, 237–244 (2009). https://doi.org/10.1007/s11766-009-1801-4

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  • DOI: https://doi.org/10.1007/s11766-009-1801-4

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