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edit approved Nov 5, 2022 at 16:48
user1092847
edit approved Nov 5, 2022 at 16:48
user1092847
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Cohomology Homology of Bridebraid groups and loop spaces

How do Segal's theorem(s)theorems from (Configuration-spaces and iterated loop-spaces. Invent. Math.21:213--221) implies theimply that there is an isomorphism $H_*(B(\infty);\mathbb{Z})\cong H_*(\Omega^2S^3;\mathbb{Z})$$H_*(B_\infty,\mathbb{Z})\cong H_*(\Omega^2S^3,\mathbb{Z})$, where $B(\infty)=\varinjlim B_n$$B_\infty=\varinjlim B_n$ and $B_n$ is the $n$--strings BrideBraid group  ?

Cohomology of Bride groups

How Segal's theorem(s) (Configuration-spaces and iterated loop-spaces. Invent. Math.21:213--221) implies the isomorphism $H_*(B(\infty);\mathbb{Z})\cong H_*(\Omega^2S^3;\mathbb{Z})$, where $B(\infty)=\varinjlim B_n$ and $B_n$ is the $n$--strings Bride group  ?

Homology of braid groups and loop spaces

How do Segal's theorems from (Configuration-spaces and iterated loop-spaces. Invent. Math.21:213--221) imply that there is an isomorphism $H_*(B_\infty,\mathbb{Z})\cong H_*(\Omega^2S^3,\mathbb{Z})$, where $B_\infty=\varinjlim B_n$ and $B_n$ is the $n$--strings Braid group?

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Victor
Victor
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Cohomology of Bride groups

How Segal's theorem(s) (Configuration-spaces and iterated loop-spaces. Invent. Math.21:213--221) implies the isomorphism $H_*(B(\infty);\mathbb{Z})\cong H_*(\Omega^2S^3;\mathbb{Z})$, where $B(\infty)=\varinjlim B_n$ and $B_n$ is the $n$--strings Bride group ?