| 词汇 | cobordism |
| 释义 | BETA Examples of cobordismcobordism isn’t in the Cambridge Dictionary yet. You can help! He also worked on complex cobordism, showing that its formal group law is essentially the universal one. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Generalizations such as cobordism also have induced homomorphisms. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is the composition law for morphisms in the cobordism category. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is similar to the cobordism ring of oriented manifolds, except that the manifolds also have a vector bundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These maps have to satisfy various conditions similar to those satisfied by complex cobordism. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Over a field of characteristic 0, algebraic cobordism is the universal oriented cohomology theory for smooth varieties. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In low dimensions, the bordism question is trivial, but the category of cobordism is still interesting. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The resulting cobordism groups are then defined analogously to the unoriented case. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is a 1-dimensional cobordism between the 0-dimensional manifolds 0, 1. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Contrarily to cobordism classes of maps, the normal invariants are a "cohomology theory". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Other cobordism theories do not reduce to ordinary homology in this way, notably framed cobordism, oriented cobordism and complex cobordism. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The cobordism classes of manifolds form a ring that is usually the coefficient ring of some generalized cohomology theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Some of these cohomology theories, in particular complex cobordism, turned out to be some of the most powerful cohomology theories known. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The conditions on can be rephrased as saying that is a ring homomorphism from the cobordism ring of manifolds (with given structure) to another ring. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There exists a homotopy theoretic analogue of the s-cobordism theorem. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He also worked in the theory of characteristic classes, homotopy theory and cobordism theory. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. |
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