Spaces whose closed images are 𝑀₁

Itō, Munehiko; Tamano, Ken-ichi

doi:10.1090/S0002-9939-1983-0677253-8

Spaces whose closed images are $M_{1}$
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by Munehiko Itō and Ken-ichi Tamano PDF

Proc. Amer. Math. Soc. 87 (1983), 159-163 Request permission

Abstract:

Almost local finiteness is introduced. The class of all spaces with a $\sigma$-almost locally finite base is an intermediate class between that of free $L$-spaces and that of ${M_1}$-spaces. The class is countably productive, hereditary and the closed image of a space in the class is ${M_1}$.

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