The behaviour of dimension functions on unions of closed subsets

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

doi:10.2969/jmsj/1191418641

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Home > Journals > J. Math. Soc. Japan > Volume 56 > Issue 2 > Article

April, 2004 The behaviour of dimension functions on unions of closed subsets

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

J. Math. Soc. Japan 56(2): 489-501 (April, 2004). DOI: 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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Michael G. CHARALAMBOUS. Vitalij A. CHATYRKO. Yasunao HATTORI. "The behaviour of dimension functions on unions of closed subsets." J. Math. Soc. Japan 56 (2) 489 - 501, April, 2004. https://doi.org/10.2969/jmsj/1191418641

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Published: April, 2004

First available in Project Euclid: 3 October 2007

zbMATH: 1063.54026

MathSciNet: MR2048470

Digital Object Identifier: 10.2969/jmsj/1191418641

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Primary: 54F45

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

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Vol.56 • No. 2 • April, 2004

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Michael G. CHARALAMBOUS, Vitalij A. CHATYRKO, Yasunao HATTORI "The behaviour of dimension functions on unions of closed subsets," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 56(2), 489-501, (April, 2004)

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