Mayer–Vietoris sequence (Q2421905): Difference between revisions

@@ label / fr / label / fr @@
-Suite de Mayer-Vietoris
+suite de Mayer-Vietoris
@@ label / es / label / es @@
-Sucesión de Mayer-Vietoris
+sucesión de Mayer-Vietoris
@@ label / it / label / it @@
-Successione di Mayer-Vietoris
+successione di Mayer-Vietoris
@@ label / ca / label / ca @@
+seqüència de Mayer-Vietoris
@@ label / pt / label / pt @@
+sequência de Mayer–Vietoris
@@ label / pt-br / label / pt-br @@
+sequência de Mayer–Vietoris
@@ label / eo / label / eo @@
+vico de Mayer-Vietoris
@@ aliases / fr / 0 / aliases / fr / 0 @@
+suite de Mayer–Vietoris
@@ aliases / fr / 1 / aliases / fr / 1 @@
-Suite de Mayer–Vietoris
@@ aliases / es / 0 / aliases / es / 0 @@
+sucesion de Mayer Vietoris
@@ aliases / es / 1 / aliases / es / 1 @@
-Sucesion de Mayer Vietoris
@@ aliases / es / 2 / aliases / es / 2 @@
-Sucesión de Mayer Vietoris
@@ aliases / es / 3 / aliases / es / 3 @@
-Sucesion de Mayer-Vietoris
@@ aliases / zh / 0 / aliases / zh / 0 @@
+迈耶-菲托里斯序列
@@ aliases / ca / 0 / aliases / ca / 0 @@
+successió de Mayer Vietoris
@@ description / ca / description / ca @@
+successió matemàtica
@@ description / en / description / en @@
+long exact sequence describing how the (co)homology of a space relates to that of two subspaces whose interiors cover the total space
@@ description / fr / description / fr @@
+un outil permettant de calculer certains invariants importants d'espaces topologiques en les partageant en morceaux plus simples
@@ description / ja / description / 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 / pl / description / pl @@
+typ ciągu dokładnego w topologii algebraicznej
@@ Property / instance of @@
-category theory terminology
@@ Property / instance of: category theory terminology / rank @@
-Normal rank
@@ Property / studied in / Property / studied in @@
-category theory
+algebraic topology
@@ Property / Microsoft Academic ID @@
+201595698
@@ Property / Microsoft Academic ID: 201595698 / rank @@
+Normal rank
@@ Property / instance of @@
+mathematical concept
@@ Property / instance of: mathematical concept / rank @@
+Normal rank
@@ Property / instance of @@
+exact sequence
@@ Property / instance of: exact sequence / rank @@
+Normal rank
@@ Property / OpenAlex ID @@
+C201595698
@@ Property / OpenAlex ID: C201595698 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C201595698 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Great Russian Encyclopedia portal ID @@
+posledovatel-nost-maiera-v-etorisa-c38b35
+Normal rank
@@ Property / image @@
+Mayer Vietoris sequence boundary map on torus.png
@@ Property / image: Mayer Vietoris sequence boundary map on torus.png / rank @@
+Normal rank
@@ Property / defining formula @@
+ $\dotsb \to \mathrm {H} _{n+1}(X)\xrightarrow {\partial _{*}} H_{n}(A\cap B)\xrightarrow {\binom {i_{*}}{j_{*}}} \mathrm {H} _{n}(A)\oplus \mathrm {H} _{n}(B)\xrightarrow {k_{*}-l_{*}} \mathrm {H} _{n}(X)\xrightarrow {\partial _{*}} \mathrm {H} _{n-1}(A\cap B)\to \dotsb$ 
\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
+Normal rank
@@ Property / in defining formula @@
+ $\mathrm {H}$ 
\mathrm H
@@ Property / in defining formula: $\mathrm {H}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\mathrm {H}$ / qualifier @@
+symbol represents: singular homology
@@ Property / in defining formula @@
+ $\cap$ 
\cap
@@ Property / in defining formula: $\cap$ / rank @@
+Normal rank
@@ Property / in defining formula: $\cap$ / qualifier @@
+symbol represents: intersection
@@ Property / in defining formula @@
+ $\oplus$ 
\oplus
@@ Property / in defining formula: $\oplus$ / rank @@
+Normal rank
@@ Property / in defining formula: $\oplus$ / qualifier @@
+symbol represents: direct sum
@@ links / plwiki / name / links / plwiki / name @@
-Ciąg Mayersa-Vietorisa
+Ciąg Mayera-Vietorisa

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