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$ \kappa$-metrizable spaces, stratifiable spaces and metrization


Authors: J. Suzuki, K. Tamano and Y. Tanaka
Journal: Proc. Amer. Math. Soc. 105 (1989), 500-509
MSC: Primary 54E35; Secondary 54E20
DOI: https://doi.org/10.1090/S0002-9939-1989-0933521-9
MathSciNet review: 933521
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Abstract: It is shown that every $ \kappa $-metrizable CW-complex is metrizable. Examples are given showing that a stratifiable $ \kappa $-metrizable space and an additively $ \kappa $-metrizable space need not be metrizable.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0933521-9
Keywords: $ \kappa $-metrizable space, stratifiable space, annihilator, metrization
Article copyright: © Copyright 1989 American Mathematical Society

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