homotopy group

  • 91Kervaire invariant — In mathematics, the Kervaire invariant, named for Michel Kervaire, is defined in geometric topology. It is an invariant of 4 n + 2 dimensional almost parallelizable smooth manifolds M , taking values in the 2 element group :Z/2Z. It is equal to… …

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  • 92Soliton — In mathematics and physics, a soliton is a self reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the… …

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  • 93Fibrant object — In mathematics, specifically in homotopy theory in the context of a model category M , a fibrant object A of M is an object that has a fibration to the terminal object of the category.PropertiesThe fibrant objects of a closed model category are… …

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  • 94Shape theory (mathematics) — Shape theory is part of the mathematical field of topology. Its overall goal is to extend results from homotopy theory for spaces with good local properties, like CW complexes, to compact metric spaces or compact Hausdorff spaces.Shape theory was …

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  • 95Wedge sum — In topology, the wedge sum (sometimes wedge product, though not to be confused with the exterior product, which also shares this terminology) is a one point union of a family of topological spaces. Specifically, if X and Y are pointed spaces (i.e …

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  • 96Skyrmion — In theoretical physics, a skyrmion, conceived by Tony Skyrme, is a mathematical model used to model baryons (a subatomic particle).A skyrmion is a homotopically non trivial classical solution of a nonlinear sigma model with a non trivial target… …

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  • 97Viktor Buchstaber — Viktor M. Buchstaber, (Russian:Виктор Матвеевич Бухштабер), Born: 1943, Tashkent, USSR) is a Russian mathematician known for his work on algebraic topology, homotopy and mathematical physics.WorkBuchstaber s first research work was in cobordism… …

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  • 98CAT(k) space — In mathematics, a CAT( k ) space is a specific type of metric space. Intuitively, triangles in a CAT( k ) space are slimmer than corresponding model triangles in a standard space of constant curvature k . In a CAT( k ) space, the curvature is… …

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  • 99Identity component — In mathematics, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group. Similarly, the identity path component of a topological group G is the path component of G that… …

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  • 100Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… …

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