Translation for 'cobordism' from English to French

cobordism

cobordisme {m}math.

• Buchstaber's first research work was in cobordism theory.
• can be constructed by starting with a non-trivial smooth 5-dimensional "h"-cobordism (which exists by Donaldson's proof that the "h"-cobordism theorem fails in this dimension) and using Freedman's theorem that the topological "h"-cobordism theorem holds in this dimension.
• In this paper, Thom proved the Thom transversality theorem, introduced the notions of oriented and unoriented cobordism, and demonstrated that cobordism groups could be computed as the homotopy groups of certain Thom spaces.
• For "n" = 0, the "h"-cobordism theorem is trivially true: the interval is the only connected cobordism between connected 0-manifolds.
• This is true for unoriented cobordism. Other cobordism theories do not reduce to ordinary homology in this way, notably framed cobordism, oriented cobordism and complex cobordism.

• He defined new generalized homology and cohomology theories called bordism and cobordism, and pointed out that many of the deep results on cobordism of manifolds found by René Thom, C.
• In mathematics, algebraic cobordism is an analogue of complex cobordism for smooth quasi-projective schemes over a field. It was introduced by [...].
• The s-cobordism theorem states for a closed connected oriented manifold "M" of dimension "n" > 4 that an h-cobordism "W" between "M" and another manifold "N" is trivial over "M" if and only if the Whitehead torsion of the inclusion [...] vanishes.