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Proceedings of the American Mathematical Society

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

 

 

Weakly infinite-dimensional product spaces


Author: Dale M. Rohm
Journal: Proc. Amer. Math. Soc. 111 (1991), 255-260
MSC: Primary 54F45; Secondary 57N20
DOI: https://doi.org/10.1090/S0002-9939-1991-1037221-8
MathSciNet review: 1037221
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Abstract: It is shown that the product of a weakly infinite-dimensional compactum with a $ C$-space is weakly infinite-dimensional. Some observations on the coincidence of weak infinite-dimensionality and property $ C$ are made. The question of when a weakly infinite-dimensional space has weakly infinite-dimensional product with all zero-dimensional spaces is investigated.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1037221-8
Keywords: Property $ C$, weakly infinite-dimensional spaces, product spaces
Article copyright: © Copyright 1991 American Mathematical Society