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Bordism
UK
/ˈbɔːdɪz(ə)m/
US
/ˈbɔrdɪz(ə)m/
Translation of "bordism" into Russian
bordism
Noun
UK
/ˈbɔːdɪz(ə)m/
US
/ˈbɔrdɪz(ə)m/
bordism
bordisms pl
бордизм
Bordism is a concept in algebraic topology.
Бордизм - это концепция в алгебраической топологии.
Definitions
bordism
Noun
UK
/ˈbɔːdɪz(ə)m/
US
/ˈbɔrdɪz(ə)m/
In topology, the equivalence relation on closed manifolds whereby two manifolds are said to be bordant if their disjoint union is the boundary of some higher-dimensional manifold.
Bordism partitions smooth manifolds into classes that share a common bounding manifold.
An equivalence class of manifolds under the bordism relation.
Each element of the oriented bordism group represents a distinct bordism of n-manifolds.
The branch of algebraic topology that studies manifolds up to bordism and the algebraic structures arising from them.
Much of modern bordism focuses on computing generalized homology theories.
bordism
Adjective
UK
/ˈbɔːdɪz(ə)m/
US
/ˈbɔrdɪz(ə)m/
Relating to bordism or to the theory of manifolds up to bordism.
The bordism groups of the manifold were computed via a spectral sequence.