homology group

noun

The quotient group of the kth cycle group modulo the kth boundary group (derived from the chain complex of, e.g., a given simplicial complex).

Meanings

nounkth homology group (plural homology groups)

plural homology groups

  1. algebraic topologyThe quotient group of the kth cycle group modulo the kth boundary group (derived from the chain complex of, e.g., a given simplicial complex).
Cite this entry
APA

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

MLA

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

Chicago

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

Source: homology group on Wiktionary, CC BY-SA 4.0.