The behaviour of dimension functions on unions of closed subsets

Michael G. CHARALAMBOUS; Vitalij A. CHATYRKO; Yasunao HATTORI

doi:10.2969/jmsj/1191418641

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

The behaviour of dimension functions on unions of closed subsets

Michael G. CHARALAMBOUS, Vitalij A. CHATYRKO, Yasunao HATTORI

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Keywords: Large inductive compactness degree, transfinite large inductive dimension, additive compactness degree, transfinite additive inductive dimension

JOURNAL FREE ACCESS

2004 Volume 56 Issue 2 Pages 489-501

DOI https://doi.org/10.2969/jmsj/1191418641

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Abstract

We discuss the behaviour of (transfinite) dimension functions, in particular, Cmp and trInd, on finite and countable unions of closed subsets in separable metrizable spaces.

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