boundary homomorphism

noun

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.

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Meanings

nounkth boundary homomorphism (plural boundary homomorphisms)

plural boundary homomorphisms

  1. algebraic topologyA 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 topologyA homomorphism that operates on the kth element in a chain complex.
Cite this entry
APA

boundary homomorphism. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/boundary%20homomorphism

MLA

“boundary homomorphism.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/boundary%20homomorphism. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “boundary homomorphism,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/boundary%20homomorphism.

Source: boundary homomorphism on Wiktionary, CC BY-SA 4.0.