most recent 30 from http://mathoverflow.net 2013-06-20T00:07:29Z http://mathoverflow.net/feeds/question/120412 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120412/geometric-interpretation-of-higher-simpicial-homotopy-groupoids Tim 2013-01-31T13:53:51Z 2013-02-01T16:58:43Z

<p>As a geometric interpretation of the simplicial fundamental groupoid, resp. its equivalent relation I thought about something like arcwise differentiable (or arcwise linear) paths modulo "we can go over to others, by gluing triangles (2-simplexes) onto the path". Is this a good geometric interpretation of the simplicial fundamental groupoid?.</p> <p>Is there any sort of similar interpretation for higher simplicial homotopy group(oids)? It should be something like gluing tetrahedrons together in the right way. </p> <p>I know this is maybe a too vague question to answer. </p>