An answer to A.D.Wallace’s question about countably compact cancellative semigroups
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- by Desmond Robbie and Sergey Svetlichny
- Proc. Amer. Math. Soc. 124 (1996), 325-330
- DOI: https://doi.org/10.1090/S0002-9939-96-03418-1
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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
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Bibliographic Information
- Desmond Robbie
- Email: robbie@mundoe.maths.mu.oz.au
- Sergey Svetlichny
- Email: svet@mundoe.maths.mu.oz.au
- Received by editor(s): July 19, 1994
- Communicated by: Franklin D. Tall
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 325-330
- MSC (1991): Primary 22A05, 54D20; Secondary 22A15
- DOI: https://doi.org/10.1090/S0002-9939-96-03418-1
- MathSciNet review: 1328373