Some characterizations of 𝑛-dimensional 𝐹-spaces

Canfell, M. J.

doi:10.1090/S0002-9947-1971-0279784-8

Some characterizations of $n$-dimensional $F$-spaces
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Trans. Amer. Math. Soc. 159 (1971), 329-334 Request permission

Abstract:

In this paper we obtain characterizations of an $n$-dimensional $F$-space in terms of the rings of continuous real-valued and complex-valued functions defined on the space. Motivation for these results is the work of Gillman and Henriksen on $U$-spaces ($F$-spaces of dimension 0) and $T$-spaces ($F$-spaces of dimension 0 or 1).

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