| bio | website | |
|---|---|---|
| location | Oslo, Norway | |
| age | 24 | |
| visits | member for | 2 years, 10 months |
| seen | 3 hours ago | |
| stats | profile views | 133 |
Hello! I am a master student in algebraic topology at the University of Oslo.
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Mar 24 |
comment |
Is it ever true that $\Omega^n(\bigvee_I X)\simeq\bigvee_I\Omega^n X$? Yeah I noticed that one too. If there is such a homotopy-equivalence ever (unless $X$ is $n$-connected or something) it seems to be highly non-obvious. I've not read that, no. Do you have a good reference for it? Thanks! |
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Mar 24 |
comment |
Is it ever true that $\Omega^n(\bigvee_I X)\simeq\bigvee_I\Omega^n X$? I would think so. $\Omega X:=\hom_*(S^1,X)$ and $\Omega^n X:=\hom_*(S^1,\Omega^{n-1}(X)$ is the $n$-th loopspace of pointed maps. Was that what you were thinking about? |
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Mar 24 |
awarded | Editor |
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Mar 24 |
revised |
Is it ever true that $\Omega^n(\bigvee_I X)\simeq\bigvee_I\Omega^n X$? added 170 characters in body; added 1 characters in body |
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Mar 24 |
comment |
Is it ever true that $\Omega^n(\bigvee_I X)\simeq\bigvee_I\Omega^n X$? Depending on the response I might ask this on MathOverflow as well. Please stop me with a comment if you think this question is too broad for that page :D |
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Mar 24 |
awarded | Student |
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Mar 24 |
asked | Is it ever true that $\Omega^n(\bigvee_I X)\simeq\bigvee_I\Omega^n X$? |
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Aug 16 |
awarded | Teacher |
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Jul 28 |
answered | Usage of dx in Integrals |