Abstract
Let X be the limit of an inverse system {X α , π αβ , Λ } and and let λ be the cardinal number of Λ. Assume that each projection π α : X → X α is an open and onto map and X is λ-paracompact. We prove that if each X α is B(LF, ω 2)-refinable (hereditarily B(LF, ω 2)-refinable), then X is B(LF, ω 2)-refinable (hereditarily B(LF, ω 2)-refinable). Furthermore, we show that B(LF, ω 2)-refinable spaces can be preserved inversely under closed maps.
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Supported by the National Natural Science Foundation of China (10671173).
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Xiong, Zh., Yang, Mq. B(LF, ω2)-refinability of inverse limits. Appl. Math. J. Chin. Univ. 25, 496–502 (2010). https://doi.org/10.1007/s11766-010-2366-y
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DOI: https://doi.org/10.1007/s11766-010-2366-y