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)

 

An answer to A.D.Wallace's question about countably compact cancellative semigroups


Authors: Desmond Robbie and Sergey Svetlichny
Journal: Proc. Amer. Math. Soc. 124 (1996), 325-330
MSC (1991): Primary 22A05, 54D20; Secondary 22A15
MathSciNet review: 1328373
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown under CH that there exists a countably compact topological semigroup with two-sided cancellation which is not a topological group. Wallace's question" of 40 years standing is thus settled in the negative unless CH is explicitly denied. The example is a topological subsemigroup of an uncountable product of circle groups.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 22A05, 54D20, 22A15

Retrieve articles in all journals with MSC (1991): 22A05, 54D20, 22A15


Additional Information

Desmond Robbie
Email: robbie@mundoe.maths.mu.oz.au

Sergey Svetlichny
Email: svet@mundoe.maths.mu.oz.au

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03418-1
PII: S 0002-9939(96)03418-1
Keywords: Countably compact space, toplogical group, cancellative topological semigroup, Abelian group
Received by editor(s): July 19, 1994
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1996 American Mathematical Society