cobordant
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Cobordism — A cobordism (W;M,N). In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold. Two manifolds are cobordant if their disjoint… … Wikipedia
Surgery theory — In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one manifold from another in a controlled way, introduced by Milnor (1961). Surgery refers to cutting out parts of the manifold… … Wikipedia
Chern class — In mathematics, in particular in algebraic topology and differential geometry, the Chern classes are characteristic classes associated to complex vector bundles. Chern classes were introduced by Shiing Shen Chern (1946). Contents 1 Basic… … Wikipedia
Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… … Wikipedia
Whitney immersion theorem — In differential topology, the Whitney immersion theorem states that for m > 1, any smooth m dimensional manifold can be immersed in Euclidean 2m − 1 space. Equivalently, every smooth m dimensional manifold can be immersed in the 2m − 1… … Wikipedia
Adams spectral sequence — In mathematics, the Adams spectral sequence is a spectral sequence introduced by Adams (1958). Like all spectral sequences, it is a computational tool; it relates homology theory to what is now called stable homotopy theory. It is a… … Wikipedia
Akbulut cork — In topology an Akbulut cork is a structure is frequently used to show that in four dimensions, the smooth h cobordism theorem fails. It was named after Selman Akbulut.The basic idea of the Akbulut cork is that when attempting to use the h… … Wikipedia
Thom, Rene Frederic — ▪ 2003 French mathematical philosopher (b. Sept. 2, 1923, Montbéliard, France d. Oct. 25, 2002, Bures sur Yvette, France), was awarded the Fields Medal in 1958 for his work in topology, notably for his introduction of the concept of… … Universalium
rel — preposition Relative to. Since and are cobordant rel boundary and are n connected, the number is a nonnnegative integer … Wiktionary
Normal invariant — In mathematics, a normal map is a concept in geometric topology due to William Browder which is of fundamental importance in surgery theory. Given a Poincaré complex X, a normal map on X endows the space, roughly speaking, with some of the… … Wikipedia
