Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics A connection between two
manifolds of the samedimension n. via a manifold of dimension , where the smaller manifolds are included in theboundary of the larger manifold. - noun mathematics The
theory andstudy of such objects.
Etymologies
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Examples
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The basis of topological quantum field theories and spin foam models are in functors that relate these cobordism categories to categories of representations of quantum groups.
The String Theory Backlash Sean 2006
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Freedman's theorem was essentially a strengthening of the results of Smale's cobordism theorem, obtained at the expense of weakening the premises.
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Any senior-year college student who is majoring in mathematics should be able to prove the was proved by Steve Smale in 1961 with his h-cobordism theorem, for which he won a was proved in 1981 by M. Freedman with his theorem on Casson handles, for which he shared a Fields medal with A Casson, who had pioneered study in this area.
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Freedman's theorem was essentially a strengthening of the results of Smale's cobordism theorem, obtained at the expense of weakening the premises.
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Freedman's theorem was essentially a strengthening of the results of Smale's cobordism theorem, obtained at the expense of weakening the premises.
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Any senior-year college student who is majoring in mathematics should be able to prove the was proved by Steve Smale in 1961 with his h-cobordism theorem, for which he won a was proved in 1981 by Michael Freedman with his theorem on Casson handles, for which he shared a Fields medal with Andrew Casson, who had pioneered study in this area.
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This morning Jacob Lurie posted a draft of an expository paper on his work (with Mike Hopkins) classifying extended (infinity, n) - categorical topological field theories and their relation to the Baez-Dolan cobordism hypothesis.
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Unfortunately, the so-called "Whitney trick" which allowed the cobordism theorems of the late 20th century to produce such breakthroughs in topology is not possible in three dimensions, leaving Poincare's original formulation of the conjecture open.
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Freedman's theorem was essentially a strengthening of the results of Smale's cobordism theorem, obtained at the expense of weakening the premises.
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Unfortunately, the so-called "Whitney trick" which allowed the cobordism theorems of the late 20th century to produce such breakthroughs in topology is not possible in three dimensions, leaving Poincare's original formulation of the conjecture open.
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