Search results for " homotopy limits"

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Homotopy limits for 2-categories

2008

AbstractWe study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.

Discrete mathematicsPure mathematicsHomotopy lifting propertyHomotopy categoryGeneral MathematicsHomotopyHomotopiaQuillen adjunctionWhitehead theoremCofibrationMathematics::Algebraic Topologyn-connectedCategories (Matemàtica)Mathematics::K-Theory and HomologyHomotopy hypothesisMathematics::Category Theory512 - Àlgebra2-categories homotopy limits coherence conditionsMathematics
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