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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 26th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexstub for [[configuration space]] with $\infty$-topos theoretic definition. See also [[phase space]]

   stub for configuration space with $\infty$-topos theoretic definition. See also phase space

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeAug 11th 2011
   • (edited Aug 11th 2011)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexUrs, I do not understand your entry. In usual physics, as in [wikipedia](http://en.wikipedia.org/wiki/Configuration_space) is not the space of paths but the space of points. Thus for a classical system with $n$ degrees of freedom, the configuration space is of dimension $n$. The time is a separate parameter. I understand that in relativistic theory, one wants some things different, but this is still not standard under that terminology. Classical phase space contains the classical configuration space as a half-dimensional submanifold. On the other hand, I would like also to have an entry (I am looking for title now) on Fadell's configuration space $F_n(M)$ of $n$ particles in a manifold $M$, which can not be simulteneously at the same point. This space is of fundamental importance in several areas of topology and geometry. Cf. Westerland's survey [pdf](http://www.ms.unimelb.edu.au/~craigw/config.pdf).

   Urs, I do not understand your entry. In usual physics, as in wikipedia is not the space of paths but the space of points. Thus for a classical system with $n$ degrees of freedom, the configuration space is of dimension $n$. The time is a separate parameter. I understand that in relativistic theory, one wants some things different, but this is still not standard under that terminology.

   Classical phase space contains the classical configuration space as a half-dimensional submanifold.

   On the other hand, I would like also to have an entry (I am looking for title now) on Fadell’s configuration space $F_n(M)$ of $n$ particles in a manifold $M$, which can not be simulteneously at the same point. This space is of fundamental importance in several areas of topology and geometry. Cf. Westerland’s survey pdf.

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeOct 11th 2011
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   Author: zskoda
   Format: MarkdownItexI have slightly changed (disambiguation mainly) [[configuration space]] to reflect the usual notion of configuration sapce of points which is of dimension $n$ for $n$ degrees of freedom. I added new entry [[Fadell's configuration space]] about another notion of configurations of $n$ _distinct_ points used very much in the study of [[braid group]] (which got new reference by Fox and Neuwirth), fibrations, Hopf invariant, [[arrangements of hyperplanes]] (new entry!), [[hypergeometric function]]s (with new reference), in [[quantum groups]] (which is also expanded), [[Knizhnik-Zamolodchikov equation]] (which is a new entry, but still under construction!)...

   I have slightly changed (disambiguation mainly) configuration space to reflect the usual notion of configuration sapce of points which is of dimension $n$ for $n$ degrees of freedom.

   I added new entry Fadell’s configuration space about another notion of configurations of $n$ distinct points used very much in the study of braid group (which got new reference by Fox and Neuwirth), fibrations, Hopf invariant, arrangements of hyperplanes (new entry!), hypergeometric functions (with new reference), in quantum groups (which is also expanded), Knizhnik-Zamolodchikov equation (which is a new entry, but still under construction!)…

4. • CommentRowNumber4.
   • CommentAuthorjim_stasheff
   • CommentTimeOct 12th 2011
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   Author: jim_stasheff
   Format: TextSuggest adding Fadell and Husseini: Geometry and Topology of Configuration Spaces Springer Monograph in Math

   Suggest adding
   
   Fadell and Husseini: Geometry and Topology of Configuration Spaces
   Springer Monograph in Math
5. • CommentRowNumber5.
   • CommentAuthorzskoda
   • CommentTimeOct 13th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexRight, I found that reference, though I never read it (it appeared after I left Wisconsin). The entry is erratic still, I will work on it, a bit later.

   Right, I found that reference, though I never read it (it appeared after I left Wisconsin). The entry is erratic still, I will work on it, a bit later.