pullback diagram

  • 11Equaliser (mathematics) — This article is about equalisers in mathematics. For other meanings, see Equalizer (disambiguation). In mathematics, an equaliser, or equalizer, is a set of arguments where two or more functions have equal values. An equaliser is the solution set …

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  • 12Bundle map — In mathematics, a bundle map (or bundle morphism) is a morphism in the category of fiber bundles. There are two distinct, but closely related, notions of bundle map, depending on whether the fiber bundles in question have a common base space.… …

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  • 13Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …

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  • 14Functor — For functors as a synonym of function objects in computer programming to pass function pointers along with its state, see function object. For the use of the functor morphism presented here in functional programming see also the fmap function of… …

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  • 15Pushout (category theory) — In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamed sum) is the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common …

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  • 16Product (category theory) — In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct… …

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  • 17Average crossing number — In the mathematical subject of knot theory, the average crossing number of a knot is the result of averaging over all directions the number of crossings in a knot diagram of the knot obtained by projection onto the plane orthogonal to the… …

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  • 18Universal property — In various branches of mathematics, certain constructions are frequently defined or characterised by an abstract property which requires the existence of a unique morphism under certain conditions. These properties are called universal properties …

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  • 19Direct product of groups — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …

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  • 20Yom Kippur War — Battle of Syria redirects here. For the World War II campaign against the Vichy French in Syria, see Syria Lebanon Campaign. Yom Kippur War/October War Part of the …

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