Homomorphisms of lattices of continuous functions-Reference-Cited by-同舟云学术

Homomorphisms of lattices of continuous functions

Published:1978 Issue:1 Volume:71 Page:11-12
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mena R.,Roth B.

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-071-01/S0002-9939-1978-0487414-7/S0002-9939-1978-0487414-7.pdf

Reference3 articles.

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2. Lattices of continuous functions;Kaplansky, Irving;Bull. Amer. Math. Soc.,1947

3. Lattices of continuous functions. II;Kaplansky, Irving;Amer. J. Math.,1948

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