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

Robbie, Desmond; Svetlichny, Sergey

doi:10.1090/S0002-9939-96-03418-1

An answer to A.D.Wallace’s question about countably compact cancellative semigroups
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by Desmond Robbie and Sergey Svetlichny PDF

Proc. Amer. Math. Soc. 124 (1996), 325-330 Request permission

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.

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