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Landweber exact functor theorem information


In mathematics, the Landweber exact functor theorem, named after Peter Landweber, is a theorem in algebraic topology. It is known that a complex orientation of a homology theory leads to a formal group law. The Landweber exact functor theorem (or LEFT for short) can be seen as a method to reverse this process: it constructs a homology theory out of a formal group law.

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Landweber exact functor theorem

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In mathematics, the Landweber exact functor theorem, named after Peter Landweber, is a theorem in algebraic topology. It is known that a complex orientation...

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Homotopy theory

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Kampen theorem Homotopy excision theorem Freudenthal suspension theorem (a corollary of the excision theorem) Landweber exact functor theorem Dold–Kan...

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Chromatic homotopy theory

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heights of the formal groups that define the theories via the Landweber exact functor theorem. Typical theories it studies include: complex K-theory, elliptic...

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Exactness

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In mathematics, exactness may refer to: Exact category Exact functor Landweber exact functor theorem Exact sequence Exactness of measurements Accuracy...

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Elliptic cohomology

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cohomology theories uses the Landweber exact functor theorem. If the formal group law of E {\displaystyle E} is Landweber exact, one can define an elliptic...

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Peter Landweber

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(Čech Centennial, Boston 1993). Known as the Landweber–Ravenel–Stong theory. It uses the exact functor theorem. List of Fellows of the American Mathematical...

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Hopf algebroid

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; Francis, John; Henriques, André G.; Hill, Michael A. "4. Landweber exact functor theorem". Topological modular forms (PDF). Providence, Rhode Island...

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