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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 3rd 2009
   • (edited Dec 3rd 2009)
   • PermaLink
   Author: Urs
   Format: MarkdownI'd like to write something about a Quillen equivalence, if any, between model structures on - n-connected pointed spaces - grouplike E-n spaces . With the equivalence given by forming n-fold look spaces. But I need more input. I found a nice discussion of a model structure on n-connected pointed spaces in <a href="http://www.ams.org/proc/1996-124-11/S0002-9939-96-03606-4/S0002-9939-96-03606-4.pdf">A closed model category on (n-1)-connected spaces</a>. I suppose there is a standard model structure on E-k algebras in Top. Is a Quilen equivalence described anywhere?

   I'd like to write something about a Quillen equivalence, if any, between model structures on

   • n-connected pointed spaces

   • grouplike E-n spaces .

   With the equivalence given by forming n-fold look spaces.

   But I need more input. I found a nice discussion of a model structure on n-connected pointed spaces in A closed model category on (n-1)-connected spaces. I suppose there is a standard model structure on E-k algebras in Top. Is a Quilen equivalence described anywhere?