Mayer–Vietoris sequence (Q2421905): Difference between revisions

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AlphaRho (talk | contribs)
Created claim: Great Russian Encyclopedia portal ID (P11514): posledovatel-nost-maiera-v-etorisa-c38b35, #quickstatements; #temporary_batch_1682096953033
Tarnoob (talk | contribs)
Added [pl] description: typ ciągu dokładnego w topologii algebraicznej
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label / eolabel / eo
 
vico de Mayer-Vietoris
description / endescription / en
algebraic tool
long exact sequence describing how the (co)homology of a space relates to that of two subspaces whose interiors cover the total space
description / frdescription / fr
 
un outil permettant de calculer certains invariants importants d'espaces topologiques en les partageant en morceaux plus simples
description / jadescription / ja
 
位相空間が持つホモロジー群やコホモロジー群といった代数的位相不変量を計算するのに便利な道具
description / pldescription / pl
 
typ ciągu dokładnego w topologii algebraicznej
Property / studied inProperty / studied in
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Property / image: Mayer Vietoris sequence boundary map on torus.png / rank
 
Normal rank
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\dotsb\to\mathrm H_{n+1}(X)\xrightarrow{\partial_*}H_n(A\cap B)\xrightarrow{\binom{i_*}{j_*}}\mathrm H_n(A)\oplus\mathrm H_n(B)\xrightarrow{k_*-l_*}\mathrm H_n(X)\xrightarrow{\partial_*}\mathrm H_{n-1}(A\cap B)\to\dotsb
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\mathrm H
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Property / in defining formula
 

\cap
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Property / in defining formula
 

\oplus
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Latest revision as of 20:21, 18 April 2024

long exact sequence describing how the (co)homology of a space relates to that of two subspaces whose interiors cover the total space
Language Label Description Also known as
English
Mayer–Vietoris sequence
long exact sequence describing how the (co)homology of a space relates to that of two subspaces whose interiors cover the total space

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