C-Ext category

C-Ext category
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  • Ext functor — In mathematics, the Ext functors of homological algebra are derived functors of Hom functors. They were first used in algebraic topology, but are common in many areas of mathematics. Definition and computation Let R be a ring and let mathrm{Mod}… …   Wikipedia

  • Triangulated category — A triangulated category is a mathematical category satisfying some axioms that are based on the properties of the homotopy category of spectra, and the derived category of an abelian category. A t category is a triangulated category with a t… …   Wikipedia

  • Model category — In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ( arrows ) called weak equivalences , fibrations and cofibrations . These abstract from a conventional homotopy category, of… …   Wikipedia

  • Derived category — In mathematics, the derived category D(C) of an abelian category C is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on C. The construction proceeds on the… …   Wikipedia

  • Exact category — In mathematics, an exact category is a concept of category theory due to Daniel Quillen which is designed to encapsulate the properties of short exact sequences in abelian categories without requiring that morphisms actually possess kernels and… …   Wikipedia

  • A¹ homotopy theory — In algebraic geometry and algebraic topology, a branch of mathematics, A1 homotopy theory is a way to apply the techniques of algebraic topology, specifically homotopy, to algebraic varieties and, more generally, to schemes. The theory is due to… …   Wikipedia

  • Wikipedia:Criteria for speedy deletion — For requests to hide the contents of edit summaries, see Wikipedia:Oversight. WP:SPEEDY redirects here. For the guideline discussing when to end deletion debates early as keep , see Wikipedia:Speedy keep. For the list of current candidates for… …   Wikipedia

  • Héraldique napoléonienne — Lorsque par décrets du 1er mars 1808[1], Napoléon crée en France la Noblesse d Empire, l Empereur lui attribue un règlement héraldique très différent de celui appliqué sous l Ancien Régime. Tandis que de nouvelles armoiries furent créées à l… …   Wikipédia en Français

  • Ganea conjecture — Ganea s conjecture is a claim in algebraic topology, now disproved. It states that: ext{cat}(X imes S^n)= ext{cat}(X) +1, n>0 ,!where cat( X ) is the Lusternik–Schnirelmann category of a topological space X , and S n is the n dimensional sphere.… …   Wikipedia

  • Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… …   Wikipedia

  • Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia


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