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Results tagged with configuration-spaces
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user 5010
for questions on configuration spaces, both in the sense of spaces that parameterizes collections of points in a manifold, and in the sense of the space of possible states of a classical mechanical physical system.
4
votes
Accepted
Unordered configuration space of $\mathbb{R}P^1$
(1) and (2) are perfectly compatible, to the extent which (1) makes sense. $\mathbb{R}P^k$ is naturally a CW complex with one cell in each dimension, and $\mathbb{R}P^{k-2}$ is a subcomplex. Assuming …
- 10.1k
6
votes
Accepted
unordered configuration space of pointed space
With your definitions, assuming you mean the configuration space of distinct points, and that the inclusions need to be compatible with the actual locations of the points in some way, there is not suc …
- 10.1k