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Brown–Peterson cohomology

Index Brown–Peterson cohomology

In mathematics, Brown–Peterson cohomology is a generalized cohomology theory introduced by, depending on a choice of prime p. It is described in detail by. [1]

15 relations: Adams spectral sequence, Bulletin of the American Mathematical Society, Cohomology, Complex cobordism, Daniel Quillen, Exterior algebra, Homotopy groups of spheres, Hopf algebroid, Idempotence, Localization of a topological space, Ring spectrum, Spectrum (topology), Suspension (topology), Topology (journal), University of Chicago Press.

Adams spectral sequence

In mathematics, the Adams spectral sequence is a spectral sequence introduced by.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

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Complex cobordism

In mathematics, complex cobordism is a generalized cohomology theory related to cobordism of manifolds.

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Daniel Quillen

Daniel Gray "Dan" Quillen (June 22, 1940 – April 30, 2011) was an American mathematician.

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Exterior algebra

In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.

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Homotopy groups of spheres

In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other.

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Hopf algebroid

In mathematics, in the theory of Hopf algebras, a Hopf algebroid is a generalisation of weak Hopf algebras, certain skew Hopf algebras and commutative Hopf k-algebroids.

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Idempotence

Idempotence is the property of certain operations in mathematics and computer science that they can be applied multiple times without changing the result beyond the initial application.

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Localization of a topological space

In mathematics, well behaved topological spaces can be localized at primes, in a similar way to the localization of a ring at a prime.

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Ring spectrum

In stable homotopy theory, a ring spectrum is a spectrum E together with a multiplication map and a unit map where S is the sphere spectrum.

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Spectrum (topology)

In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory.

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Suspension (topology)

In topology, the suspension SX of a topological space X is the quotient space: of the product of X with the unit interval I.

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Topology (journal)

Topology was a peer-reviewed mathematical journal covering topology and geometry.

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University of Chicago Press

The University of Chicago Press is the largest and one of the oldest university presses in the United States.

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Redirects here:

BP cohomology, Brown Peterson, Brown Peterson cohomology, Brown-Peterson, Brown-Peterson cohomology, Brown-Peterson homology, Brownen-Peterson spectrum, Brownen–Peterson spectrum, Brown–Peterson homology.

References

[1] https://en.wikipedia.org/wiki/Brown–Peterson_cohomology

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