boundary homomorphism

English

Noun

kth boundary homomorphism (plural boundary homomorphisms)

  1. (algebraic topology) A homomorphism that operates on the kth boundary element.
    1. In a simplicial chain complex: A group homomorphism induced by mapping each oriented k-simplex to a formal sum with alternating signs of the oriented (k − 1)-simplices which are faces of the said k-simplex.

Further reading
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