Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
A CHARACTERIZATION OF ω1-STRONGLY COUNTABLE-DIMENSIONAL SPACES IN TERMS OF K-APPROXIMATIONS
Masahiro Matsumoto
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Keywords: ω1-strongly countable-dimension, locally finite-dimension, strong small transfinite dimension
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2014 Volume 76 Issue 3 Pages 437-444

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Abstract
We give a characterization of ω1-strongly countable-dimensional metrizable spaces in terms of K-approximations. A characterization of locally finite-dimensional metrizable spaces is also obtained.
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© 2014 International Society for Mathematical Sciences
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