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19 relations: Algebraic topology, Category (mathematics), Cohomology, Complex cobordism, Formal group law, Homotopy, Jack Morava, Künneth theorem, Mathematics, Michael J. Hopkins, Module spectrum, Prime number, Ring spectrum, Singular homology, Spectrum (topology), Stable homotopy theory, Suspension (topology), Topological K-theory, Wedge sum.
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
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Category (mathematics)
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is an algebraic structure similar to a group but without requiring inverse or closure properties.
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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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Formal group law
In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group.
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Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.
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Jack Morava
Jack Johnson Morava is an American homotopy theorist at Johns Hopkins University.
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Künneth theorem
In mathematics, especially in homological algebra and algebraic topology, a Künneth theorem, also called a Künneth formula, is a statement relating the homology of two objects to the homology of their product.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Michael J. Hopkins
Michael Jerome Hopkins (born April 18, 1958) is an American mathematician known for work in algebraic topology.
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Module spectrum
In algebra, a module spectrum is a spectrum with an action of a ring spectrum; it generalizes a module in abstract algebra.
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Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
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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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Singular homology
In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X).
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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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Stable homotopy theory
In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor.
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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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Topological K-theory
In mathematics, topological -theory is a branch of algebraic topology.
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Wedge sum
In topology, the wedge sum is a "one-point union" of a family of topological spaces.
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