A counterexample to a group completion conjecture of J C Moore
Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 33-35
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We provide a simple explicit counterexample to a group completion conjecture for simplicial monoids attributed to J C Moore.

DOI : 10.2140/agt.2002.2.33
Keywords: simplicial monoid, group completion

Fiedorowicz, Zbigniew  1

1 Department of Mathematics, The Ohio State University, Columbus OH 43210-1174, USA
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Fiedorowicz, Zbigniew. A counterexample to a group completion conjecture of J C Moore. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 33-35. doi: 10.2140/agt.2002.2.33

[1] A Dold, Die geometrische Realisierung eines schiefen kartesischen Produktes., Arch. Math. 9 (1958) 275

[2] Z Fiedorowicz, Classifying spaces of topological monoids and categories, Amer. J. Math. 106 (1984) 301

[3] D Mcduff, On the classifying spaces of discrete monoids, Topology 18 (1979) 313

[4] D Puppe, A theorem on semi-simplicial monoid complexes, Ann. of Math. $(2)$ 70 (1959) 379

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