We provide a simple explicit counterexample to a group completion conjecture for simplicial monoids attributed to J C Moore.
Fiedorowicz, Zbigniew  1
@article{10_2140_agt_2002_2_33,
author = {Fiedorowicz, Zbigniew},
title = {A counterexample to a group completion conjecture of {J} {C} {Moore}},
journal = {Algebraic and Geometric Topology},
pages = {33--35},
year = {2002},
volume = {2},
number = {1},
doi = {10.2140/agt.2002.2.33},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.33/}
}
TY - JOUR AU - Fiedorowicz, Zbigniew TI - A counterexample to a group completion conjecture of J C Moore JO - Algebraic and Geometric Topology PY - 2002 SP - 33 EP - 35 VL - 2 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.33/ DO - 10.2140/agt.2002.2.33 ID - 10_2140_agt_2002_2_33 ER -
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] , Die geometrische Realisierung eines schiefen kartesischen Produktes., Arch. Math. 9 (1958) 275
[2] , Classifying spaces of topological monoids and categories, Amer. J. Math. 106 (1984) 301
[3] , On the classifying spaces of discrete monoids, Topology 18 (1979) 313
[4] , A theorem on semi-simplicial monoid complexes, Ann. of Math. $(2)$ 70 (1959) 379
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