cellular homology (Q3139849)

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homology theory

Language	Label	Description	Also known as
English	cellular homology	homology theory

Statements

algebraic topology

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homology theory

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defining formula

{\begin{aligned}&\partial _{n}(e_{n}^{\alpha })=\sum _{\beta }\deg(\chi _{n}^{\alpha \beta })e_{n-1}^{\beta }\\&\chi _{n}^{\alpha \beta }\colon \mathbb {S} ^{n-1}\xrightarrow {\cong } \partial e_{n}^{\alpha }\xrightarrow {\chi _{n}^{\alpha }} X_{n-1}\twoheadrightarrow X_{n-1}/(X_{n-1}\setminus e_{n-1}^{\beta })\xrightarrow {\cong } \mathbb {S} ^{n-1}\end{aligned}}

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Identifiers

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Microsoft Academic ID

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cellular homology

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

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