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searching for Classification of manifolds 9 found (18 total)

alternate case: classification of manifolds

Triangulation (topology) (5,150 words) [view diff] no match in snippet view article

In mathematics, triangulation describes the replacement of topological spaces with simplicial complexes by the choice of an appropriate homeomorphism.
Surgery exact sequence (3,121 words) [view diff] no match in snippet view article find links to article
In the mathematical surgery theory the surgery exact sequence is the main technical tool to calculate the surgery structure set of a compact manifold in
Riemannian geometry (1,471 words) [view diff] exact match in snippet view article find links to article
ISBN 978-3-319-60039-0 Papers Brendle, Simon; Schoen, Richard M. (2008), "Classification of manifolds with weakly 1/4-pinched curvatures", Acta Math, 200: 1–13, arXiv:0705
Geometric topology (1,751 words) [view diff] exact match in snippet view article find links to article
handlebody decompositions. It is a major tool in the study and classification of manifolds of dimension greater than 3. More technically, the idea is to
Matthias Kreck (852 words) [view diff] exact match in snippet view article find links to article
Aarhus, St. Petersburg, Moscow and Beijing. Kreck worked on the classification of manifolds in differential topology (e.g. bordism groups), 4-manifolds with
Geometry and the Imagination (360 words) [view diff] exact match in snippet view article find links to article
curvature and non-Euclidean geometry, mechanical linkages, the classification of manifolds by their Euler characteristic, and the four color theorem. The
Partial function (2,055 words) [view diff] exact match in snippet view article find links to article
composite of one chart with the inverse of another. The initial classification of manifolds and fiber bundles is largely expressed in terms of constraints
Complex projective space (3,929 words) [view diff] exact match in snippet view article find links to article
ISBN 978-0-387-90613-3. Brendle, Simon; Schoen, Richard (2008), "Classification of manifolds with weakly 1/4-pinched curvatures", Acta Mathematica, 200: 1–13
Arf invariant (3,422 words) [view diff] exact match in snippet view article find links to article
by Michel Kervaire and John Milnor, and more generally in the classification of manifolds by surgery theory. William Browder defined μ {\displaystyle \mu