Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Decomposition of function-lattices
HTML articles powered by AMS MathViewer

by S. D. Shore PDF
Proc. Amer. Math. Soc. 28 (1971), 189-190 Request permission

Abstract:

We give a simple direct proof of the theorem (due to Kaplansky-Blair-Burrill) that the lattice $C(X,K)$ of all continuous functions defined on the topological space $X$ with values in the chain $K$ can be decomposed iff $X$ contains an open-and-closed subset.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.06
  • Retrieve articles in all journals with MSC: 46.06
Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 28 (1971), 189-190
  • MSC: Primary 46.06
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0271700-3
  • MathSciNet review: 0271700