Homomorphisms of lattices of continuous functions

Mena, R.; Roth, B.

doi:10.1090/S0002-9939-1978-0487414-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homomorphisms of lattices of continuous functions
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by R. Mena and B. Roth PDF

Proc. Amer. Math. Soc. 71 (1978), 11-12 Request permission

Abstract:

We prove that for Y a compact Hausdorff space, every lattice homomorphism from $C(Y)$ to $C(X)$ which takes each constant function on Y to the same function on X is linear.

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