Weakly infinite-dimensional product spaces

Rohm, Dale M.

doi:10.1090/S0002-9939-1991-1037221-8

Weakly infinite-dimensional product spaces
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Proc. Amer. Math. Soc. 111 (1991), 255-260 Request permission

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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Alternative characterizations of weak infinite-dimensionality and their relation to a problem of Alexandroff’s

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