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Inverse limits of hereditarily almost expandable class
Authors:Bin Zhao
Institution:(1) Dept. of Math., Kashgar Teacher’s College, Kashgar, 844007, China;(2) Dept. of Math. & Informatics, Faculty of Science, Chiba Univ., Chiba 263 - 8522, Japan
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 β α , 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. Supported by the Scientific Fund of the Educational Committee of Xinjiang of China (XJEDU2004158)
Keywords:inverse limit space  hereditarily pointwise collectionwise normal  hereditarily almost a-expandable
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