Definitions from Wiktionary (boundary homomorphism)

▸ noun:  (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.
▸ noun:  (algebraic topology, in greater generality) A homomorphism that operates on the kth element in a chain complex.



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