- cobordism group
- <geom.> группа внутренних гомологий
Англо-русский технический словарь.
cobordism group
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Cobordism — A cobordism (W;M,N). In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold. Two manifolds are cobordant if their disjoint… … Wikipedia
Complex cobordism — In mathematics, complex cobordism is a generalized cohomology theory related to cobordism of manifolds. Its spectrum is denoted by MU. It is an exceptionally powerful cohomology theory, but can be quite hard to compute, so often instead of using… … Wikipedia
Semi-s-cobordism — In mathematics, a cobordism ( W , M , M −) of an ( n + 1) dimensionsal manifold (with boundary) W between its boundary components, two n manifolds M and M − (n.b.: the original creator of this topic, Jean Claude Hausmann, used the notation M −… … Wikipedia
H-cobordism — A cobordism W between M and N is an h cobordism if the inclusion maps : M hookrightarrow W quadmbox{and}quad N hookrightarrow Ware homotopy equivalences. If mbox{dim},M = mbox{dim},N = nand mbox{dim},W = n+1, it is called an n+1 dimensional h… … Wikipedia
Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… … Wikipedia
Cohomotopy group — In mathematics, particularly algebraic topology, cohomotopy sets are particular contravariant functors from the category of pointed topological spaces and point preserving continuous maps to the category of sets and functions. They are dual to… … Wikipedia
Dehn surgery — In topology, a branch of mathematics, a Dehn surgery, named after Max Dehn, is a specific construction used to modify 3 manifolds. The process takes as input a 3 manifold together with a link. Dehn surgery can be thought of as a two stage process … Wikipedia
List of cohomology theories — This is a list of some of the ordinary and generalized (or extraordinary) homology and cohomology theories in algebraic topology that are defined on the categories of CW complexes or spectra. For other sorts of homology theories see the links at… … Wikipedia
Whitehead torsion — In mathematics, Whitehead torsion is an invariant of an h cobordism in a Whitehead group, that is important in simple homotopy theory and surgery theory. It is named for J. H. C. Whitehead.Whitehead torsionSuppose that W is an h cobordism from M… … Wikipedia
Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) … Wikipedia
Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) … Wikipedia
