Search results for "2-categories"

showing 2 items of 2 documents

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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Shall We (Math and) Dance?

2019

Can we use mathematics, and in particular the abstract branch of category theory, to describe some basics of dance, and to highlight structural similarities between music and dance? We first summarize recent studies between mathematics and dance, and between music and categories. Then, we extend this formalism and diagrammatic thinking style to dance.

Settore INF/01 - InformaticaDanceFormalism (philosophy)2-categories; Dance; MusicSettore MAT/04 - Matematiche ComplementariGeneralLiterature_MISCELLANEOUSStyle (sociolinguistics)DanceSettore MAT/02 - AlgebraDiagrammatic reasoningGeneral Mathematics (math.GM)ComputerApplications_MISCELLANEOUSFOS: MathematicsMathematics educationCategory theoryMathematics - General MathematicsMusic2-categories
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