# Bott homomorphism

Bott homomorphism
Математика: гомоморфизм Ботта

Универсальный англо-русский словарь. . 2011.

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• Bott periodicity theorem — In mathematics, the Bott periodicity theorem is a result from homotopy theory discovered by Raoul Bott during the latter part of the 1950s, which proved to be of foundational significance for much further research, in particular in K theory of… …   Wikipedia

• J-homomorphism — In mathematics, the J homomorphism is a mapping from the homotopy groups of the special orthogonal groups to the homotopy groups of spheres, defined by George W. Whitehead.The original homomorphism is defined geometrically, and gives a… …   Wikipedia

• Chern–Weil homomorphism — In mathematics, the Chern–Weil homomorphism is a basic construction in the Chern–Weil theory, relating for a smooth manifold M the curvature of M to the de Rham cohomology groups of M, i.e., geometry to topology. This theory of Shiing Shen Chern… …   Wikipedia

• Orthogonal group — Group theory Group theory …   Wikipedia

• Topological K-theory — In mathematics, topological K theory is a branch of algebraic topology. It was founded to study vector bundles on general topological spaces, by means of ideas now recognised as (general) K theory that were introduced by Alexander Grothendieck.… …   Wikipedia

• Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …   Wikipedia

• Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …   Wikipedia

• Homotopy groups of spheres — In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in algebraic terms, the structure… …   Wikipedia

• General linear group — Group theory Group theory …   Wikipedia

• Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

• Shiing-Shen Chern — Chern redirects here. For other uses, see Chern (disambiguation). This is a Chinese name; the family name is 陳 (Chern). Shiing Shen Chern Traditional Chinese 陳省身 Simplified Chinese …   Wikipedia

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