Singular chain: Difference between revisions
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==Definition== | ==Definition== | ||
A '''singular <math>n</math> | A '''singular <math>n</math>-chain''' is defined as a formal linear combination of singular <math>n</math>-simplices, with integer coefficients. The set of all singular <math>n</math>-chains forms an Abelian group under coordinate-wise addition. This is in fact the free Abelian group on the singular <math>n</math>-simplciies, and is termed the <math>n^{th}</math> chain group. | ||
Revision as of 08:35, 22 May 2007
Definition
A singular -chain is defined as a formal linear combination of singular -simplices, with integer coefficients. The set of all singular -chains forms an Abelian group under coordinate-wise addition. This is in fact the free Abelian group on the singular -simplciies, and is termed the chain group.