cohomologous

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adjective

referring to two cocycles in some nth cohomology that differ by the image of an element from the (n-1)th cochain.

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Meanings

adjectivecohomologous (not comparable)
  1. not comparablemathematicsreferring to two cocycles in some nth cohomology that differ by the image of an element from the (n-1)th cochain.

    Let (X,#92;omega) be a compact K\"ahler manifold and #92;mathcalH the space of K\"ahler metrics cohomologous to #92;omega.

    2016, Robert J. Berman, Tamás Darvas, Chinh H. Lu, “Regularity of weak minimizers of the K-energy and applications to properness and K-stability”, in arXiv

Origin

From co- + homologous.

Full word history & related roots →
Cite this entry
APA

cohomologous. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/cohomologous

MLA

“cohomologous.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/cohomologous. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “cohomologous,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/cohomologous.

Source: cohomologous on Wiktionary, CC BY-SA 4.0.