Geodesic
The Wallace Problem: A Counterexample from MaCountable and p-Compactness
Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 486-498

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DOI

We construct, under MAcountable, a countably compact topological subsemigroup of which is not a group, hence a counterexample for the Wallace problem. We also show that there is no p-compact counterexample for the Wallace problem, answering a question of D. Grant. Finally, we show that—in some sense—our counterexample for the Wallace problem constructed under MAcountable cannot be done in ZFC.
DOI : 10.4153/CMB-1996-057-6
Mots-clés : 22A99, 54A35, 03E50, Wallace problem, MAcountable, p-compactness, countable compactness, topological semigroups 
Tomita, Artur H. The Wallace Problem: A Counterexample from MaCountable and p-Compactness. Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 486-498. doi: 10.4153/CMB-1996-057-6
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     title = {The {Wallace} {Problem:} {A} {Counterexample} from {MaCountable} and {p-Compactness}},
     journal = {Canadian mathematical bulletin},
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     year = {1996},
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     doi = {10.4153/CMB-1996-057-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-057-6/}
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