2013•Forum MathematicumOpen access

On some new model category structures from old, on the same underlying category

Alexandru Emil Stanculescu

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Abstract

Abstract We make a study of ℓℓ-extensions of model category structures. We prove an existence result of ℓℓ-extensions, present some specific and some rather formal results about them and give an application of the existence result to the homotopy theory of categories enriched over a monoidal model category.

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Abstract We make a study of ℓℓ-extensions of model category structures. We prove an existence result of ℓℓ-extensions, present some specific and some rather formal results about them and give an application of the existence result to the homotopy theory of categories enriched over a monoidal model category.

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Available abstract

Abstract We make a study of ℓℓ-extensions of model category structures. We prove an existence result of ℓℓ-extensions, present some specific and some rather formal results about them and give an application of the existence result to the homotopy theory of categories enriched over a monoidal model category.

Key concepts: Model category, Enriched category, Mathematics, Homotopy category, Higher category theory, Homotopy, 2-category, Closed category

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