A characterization of 𝑀-spaces in the class of separable simplex spaces

Gleit, Alan

doi:10.1090/S0002-9947-1972-0306864-1

A characterization of $M$-spaces in the class of separable simplex spaces
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by Alan Gleit

Trans. Amer. Math. Soc. 169 (1972), 25-33

DOI: https://doi.org/10.1090/S0002-9947-1972-0306864-1

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Abstract:

We show that a separable simplex space is an $M$-space iff the arbitrary intersection of closed ideals is always an ideal.

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