Timeline for Distinct manifolds with the same configuration spaces?
Current License: CC BY-SA 3.0
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| Nov 24, 2013 at 14:14 | comment | added | Ricardo Andrade | @cdouglas, it was my pleasure! I only thought of this because of your question, so I should thank you as well. By the way, you can use a similar argument to show, more generally, that any codimension zero embedding between manifolds which is also a weak equivalence induces a weak equivalence between all (ordered and unordered) configuration spaces. One difference is that you need to use excision in homology with local coefficients where above I used the Mayer-Vietoris sequence. | |
| Nov 23, 2013 at 1:33 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Nov 23, 2013 at 1:27 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Nov 23, 2013 at 1:13 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Nov 23, 2013 at 1:08 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Nov 23, 2013 at 1:02 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Nov 23, 2013 at 0:55 | history | answered | Ricardo Andrade | CC BY-SA 3.0 |