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On the Dimension of Paracompact Hausdorff Spaces
Published online by Cambridge University Press: 22 January 2016
Extract
This short note gives the generalized sum theorem for Lebesgue dimension of paracompact Hausdorff spaces. Our theorem, though it is a generalization of Mr. Morita’s sum theorem for fully normal spaces [3, Theorem 3. 2] which is essentially based on his generalized sum theorem for normal spaces [3, Theorem 3.1], is obtained by very brief arguments, using only the usual sum theorem for normal spaces.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1955
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