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Results tagged with braid-groups
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user 65800
4
votes
1
answer
336
views
unordered configuration space over spheres and Euclidean spaces
For a topological space $X$, let $B(X,k)$ be the $k$-th unordered configuration space. Then
$$
B(\mathbb{R}^n,2)\simeq \mathbb{R}P^{n-1},
$$
$$
B(S^n,2)\simeq \mathbb{R}P^n.
$$
Hence
$
(*)
$
$$
B( …
- 2,223
4
votes
1
answer
250
views
Configuration spaces of positive and negative particles
In the paper Mapping class group and function spaces: a survey, F. Cohen, M.A. Maldonado, page 3, line from bottom 1-3, it is given that for a $m$-manifold $M$, there is a map from the labelled conf …
- 2,223