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Oct 9, 2019 at 10:10 history edited YCor CC BY-SA 4.0
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Oct 9, 2019 at 9:36 comment added Mark Grant For 1., this will be true only in a range depending on the connectivity of the pair $(X,A)$. An example to think about is $A=*$ a point in $X$, then $A_j=\Omega X$, the space of loops based at $*$. There is a map $H_{n-1}(\Omega X)\to H_n(X,*)$ called homology suspension, which is an isomorphisms in a range depending on the connectivity of $X$.
Oct 9, 2019 at 7:57 history edited Timo E. CC BY-SA 4.0
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Oct 7, 2019 at 9:10 review First posts
Oct 7, 2019 at 9:18
Oct 7, 2019 at 9:05 history asked Timo E. CC BY-SA 4.0