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boundary homomorphism

From Wiktionary, the free dictionary

English

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Noun

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kth boundary homomorphism (plural boundary homomorphisms)

  1. (algebraic topology, in a simplicial chain complex) A group homomorphism on the group of simplicial k-chains induced by mapping each oriented k-simplex to a particular formal sum of its faces.
  2. (algebraic topology, in greater generality) A homomorphism that operates on the kth element in a chain complex.

Further reading

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