manifold

Etymology From Middle English manifold, from Old English maniġfeald (“manifold, various, varied, complicated, numerous, abundant, plural”), from Proto-Germanic *managafalþaz, equivalent to many + -fold. Cognate with Middle High German manecvalt (“manifold”), Icelandic margfaldr (“multiple”). Compare also German mannigfaltig (“various”), Dutch menigvoudig (“various”), Danish mangefold (“multiple”), Swedish mångfald (“diversity”).

Synonyms

manyfold, frequently, ofttimes

Etymology From Middle English manifold, from Old English maniġfeald (“manifold, various, varied, complicated, numerous, abundant, plural”), from Proto-Germanic *managafalþaz, equivalent to many + -fold. Cognate with Middle High German manecvalt (“manifold”), Icelandic margfaldr (“multiple”). Compare also German mannigfaltig (“various”), Dutch menigvoudig (“various”), Danish mangefold (“multiple”), Swedish mångfald (“diversity”).

Derived terms

blackfold, Calabi-Yau manifold, chain of manifolds, conifold, continuous manifoldness, discontinuous manifoldness, inlet manifold, intake manifold, manifoldness, manifold writer, manifold writing, maniverter, micromanifold, neuromanifold, nilmanifold, non-manifold, nonmanifold, orbifold, pseudomanifold, solvmanifold, supermanifold

Hyponyms

51 terms

Flag manifold, Grassmann manifold, Stiefel manifold, analytic manifold, complex manifold, differentiable manifold, piecewise linear manifold, smooth manifold, topological manifold, almost complex manifold, almost symplectic manifold, Calabi–Yau manifold, calibrated manifold, contact manifold, CR manifold, Finsler manifold, Hermitian manifold, Hyperkähler manifold, Kähler manifold, Lie group, pseudo-Riemannian manifold, Riemannian manifold, Sasakian manifold, semi-Riemannian manifold, spin manifold, symplectic manifold, Banach manifold, Fréchet manifold, Hilbert manifold, Ck-manifold, connected manifold, Cω-manifold, C∞-manifold, E8 manifold, Einstein manifold, G2 manifold, Kervaire manifold, Lorentzian manifold, manifold with boundary, n-dimensional manifold, n-manifold, non-Hausdorff manifold, non-smoothable manifold, pure manifold, Quaternionic Kähler manifold, real manifold, Ricci-flat manifold, Spin(7) manifold, submanifold, Weeks manifold, Whitehead manifold

Etymology From Middle English manifolden, from Old English maniġfealdan (“to multiply, abound, increase, extend, reward”), equivalent to many + -fold. Cognate with Middle High German manecvalten, Icelandic margfalda (“to multiply”), Swedish mångfaldiga (“to manifold, reproduce”).