Locally convex topological lattices

Stralka, Albert R.

doi:10.1090/S0002-9947-1970-0264625-4

Locally convex topological lattices
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by Albert R. Stralka

Trans. Amer. Math. Soc. 151 (1970), 629-640

DOI: https://doi.org/10.1090/S0002-9947-1970-0264625-4

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Abstract:

The main theorem of this paper is: Suppose that L is a topological lattice of finite breadth n. Then L can be embedded in a product of n compact chains if and only if L is locally convex and distributive. With this result it is then shown that the concepts of metrizability and separability are equivalent for locally convex, connected, distributive topological lattices of finite breadth.

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