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.

 

Continuous and proper decompositions
HTML articles powered by AMS MathViewer

by G. K. Williams PDF
Proc. Amer. Math. Soc. 28 (1971), 267-270 Request permission

Abstract:

If $X$ is a locally connected, locally peripherally compact Hausdorff space and if $R$ is an equivalence relation on $X$ with fibers which are connected with compact boundaries, then it is shown that three definitions of continuity of $R$ are equivalent. Some of the propositions used to obtain this result are then applied to get sufficient conditions for a decomposition of certain types of metric spaces to be proper.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54.60
  • Retrieve articles in all journals with MSC: 54.60
Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 28 (1971), 267-270
  • MSC: Primary 54.60
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0273583-4
  • MathSciNet review: 0273583