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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On topological isomorphisms of $ C\sb{0}(X)$ and the cardinal number of $ X$


Author: Babattin Cengiz
Journal: Proc. Amer. Math. Soc. 72 (1978), 105-108
MSC: Primary 46E15; Secondary 54C35
DOI: https://doi.org/10.1090/S0002-9939-1978-0493291-0
MathSciNet review: 0493291
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Abstract: In this paper it is proved that if $ {C_0}(X)$ and $ {C_0}(Y)$ are topologically isomorphic then $ \vert X\vert = \vert Y\vert$.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0493291-0
Article copyright: © Copyright 1978 American Mathematical Society