On the Equivalence of the Ring, Lattice, and Semigroup of Continuous Functions

Authors

Melvin Henriksen, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

12-1956

Abstract

A large number of papers have been published that are devoted to showing that certain algebraic objects obtained by defining operations on the set of all continuous real-valued functions on a suitably restricted topological space determine the space. We mention but a few of them in this article.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,409.

Pdf created from original.

This article is also available at http://www.ams.org/journals/proc/1956-007-06/S0002-9939-1956-0082490-3/.

Rights Information

© 1956 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1090/S0002-9939-1956-0082490-3

Recommended Citation

Henriksen, Melvin. "On the equivalence of the ring, lattice, and semigroup of continuous functions." Proceedings of the American Mathematical Society 7.6 (December 1956): 959-960. DOI: 10.1090/S0002-9939-1956-0082490-3