Examples of 'cobordism' in a sentence
Meaning of "cobordism"
In mathematics, cobordism refers to a relation between manifolds of the same dimension, where there exists a higher-dimensional manifold with the given manifolds as its boundary
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- A connection between two manifolds of the same dimension n via a manifold of dimension n+1, where the smaller manifolds are included in the boundary of the larger manifold.
- The theory and study of such objects.
How to use "cobordism" in a sentence
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cobordism
Complex cobordism has a natural complex orientation.
They are known to be cobordism invariants.
A cobordism ring is a ring whose elements are cobordism classes.
Generalizations such as cobordism also have induced homomorphisms.
This is the composition law for morphisms in the cobordism category.
This was the first cobordism theory to be described completely.
Homotopy groups of spheres are closely related to cobordism classes of manifolds.
The cobordism classes of normal maps on X are called normal invariants.
They have application in the cobordism ring in algebraic topology.
They are the analogues of Chern classes for complex cobordism.
The theory of Chern classes gives rise to cobordism invariants for almost complex manifolds.
Another canonical example of spectra come from the Thom spectra representing various cobordism theories.
Oriented cobordism is the one of manifolds with an SO-structure.
We also compute the immersed Lagrangian cobordism group.
Further, cobordism groups form an extraordinary cohomology theory, hence the co.
See also
M and N are called cobordant if such a cobordism exists.
The essential tool of cobordism theory is the Pontryagin-Thom construction.
Buchstaber 's first research work was in cobordism theory.
Cobordisms are objects of study in their own right, apart from cobordism classes.
It also follows from René Thom 's computation of the cobordism ring of closed manifolds.
If the cobordism has dimension 4, then it is unknown whether the h-cobordism theorem holds.
Atiyah and Singer 's first published proof used K-theory rather than cobordism.
A cobordism between a single circle ( at the top ) and a pair of disjoint circles ( at the bottom ).
K theory = = = Atiyah and Singer 's first published proof used K theory rather than cobordism.
Cobordism given by moduli space of anti-self-dual connections in Donaldson 's theorem.
K-theory and cobordism are the best-known.
The cobordism groups Ω ∗ G { \ displaystyle \ Omega G } } are the coefficient groups of a generalised homology theory.
