Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Continuous and proper decompositions


Author: G. K. Williams
Journal: Proc. Amer. Math. Soc. 28 (1971), 267-270
MSC: Primary 54.60
MathSciNet review: 0273583
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


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

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0273583-4
PII: S 0002-9939(1971)0273583-4
Keywords: Semicontinuous decompositions, continuous decompositions, proper decompositions, open equivalence relation, closed equivalence relation, semiclosed equivalence relation, locally peripherally compact space
Article copyright: © Copyright 1971 American Mathematical Society