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Di Vittorio, Nicola (2019) ON THE EMBEDDINGS OF QUASI-CATEGORIES INTO PREDERIVATORS. [Magistrali biennali]

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Abstract

The goal of this thesis is to present a survey of the relationships between the theory of quasi-categories and that of prederivators. In the first chapter we illustrate the basics on quasi-categories as well as the model structure of which they are fibrant objects. In the second chapter we give an overview of the theory of prederivators. Finally, in the third chapter we explain the interactions between them. In particular, we describe how to construct two kinds of embeddings of the former into the latter and we see that there exists a model structure on prederivators which is equivalent to the one presented in the first chapter.

Item Type:Magistrali biennali
Uncontrolled Keywords:quasi-categories, prederivators, higher category theory
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/02 Algebra
Codice ID:62631
Relatore: Van der Linden, Tim and Bazzoni, Silvana
Data della tesi:05 July 2019
Biblioteca:Polo di Scienze > Biblioteca di Matematica
Tipo di fruizione per il documento:on-line per i full-text
Tesi sperimentale (Si) o compilativa (No)?:No

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