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单词 cobordism
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Examples ofcobordism

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He also worked on complexcobordism, showing that its formal group law is essentially the universal one.
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Generalizations such ascobordismalso have induced homomorphisms.
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This is the composition law for morphisms in thecobordismcategory.
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This is similar to thecobordismring of oriented manifolds, except that the manifolds also have a vector bundle.
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These maps have to satisfy various conditions similar to those satisfied by complexcobordism.
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Over a field of characteristic 0, algebraiccobordismis the universal oriented cohomology theory for smooth varieties.
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In low dimensions, the bordism question is trivial, but the category ofcobordismis still interesting.
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The resultingcobordismgroups are then defined analogously to the unoriented case.
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It is a 1-dimensionalcobordismbetween the 0-dimensional manifolds 0, 1.
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Contrarily tocobordismclasses of maps, the normal invariants are a "cohomology theory".
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Othercobordismtheories do not reduce to ordinary homology in this way, notably framedcobordism, orientedcobordismand complexcobordism.
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Thecobordismclasses of manifolds form a ring that is usually the coefficient ring of some generalized cohomology theory.
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Some of these cohomology theories, in particular complexcobordism, turned out to be some of the most powerful cohomology theories known.
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The conditions on can be rephrased as saying that is a ring homomorphism from thecobordismring of manifolds (with given structure) to another ring.
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There exists a homotopy theoretic analogue of the s-cobordismtheorem.
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He also worked in the theory of characteristic classes, homotopy theory andcobordismtheory.
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更新时间:2026/3/22 22:01:43