Timeline for Does the group completion theorem apply to the James construction?
Current License: CC BY-SA 3.0
4 events
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Oct 2, 2012 at 5:00 | comment | added | Benjamin Dickman | Perhaps Section 6 of Classifying Spaces of Topological Monoids and Categories, Z. Fiedorowicz, American Journal of Mathematics, Vol. 106, No. 2 (Apr., 1984), pp. 301-350 would be useful to you. Stable URL: jstor.org/stable/2374307 | |
Oct 1, 2012 at 13:47 | comment | added | Justin Young | I am particularly interested in the case when $X$ is not connected, otherwise there are many proofs out there. For discrete spaces, it seems to be true by direct calculation. | |
Oct 1, 2012 at 11:19 | comment | added | Lennart Meier | If $X$ is connected, then $JX$ is connected, so there should be no problems. So, for a possible counter-example you could look at the case $X$ equal to the disjoint union of three points. | |
Oct 1, 2012 at 9:52 | history | asked | Justin Young | CC BY-SA 3.0 |