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Theorems in Higher Category Theory and Applications

Nguyen, Hoang Kim (2019) Theorems in Higher Category Theory and Applications. PhD, Universität Regensburg.

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Date of publication of this fulltext: 19 Mar 2019 11:47

Abstract (English)

In this thesis we construct the universal coCartesian fibration , which (strictly) classifies coCartesian fibrations of simplicial sets with small fibers. To this end, we develop a general framework to construct homotopy theories, which behave in a covariant (or contravariant) way with respect to a given functorial cylinder object. Furthermore, we prove a generalization of Freyd’s General Adjoint ...

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Translation of the abstract (German)

In dieser Arbeit wird die universelle coCartesische Faserung konstruiert, die coCartesische Faserungen von simplizialen Mengen mit kleinen Fasern (strikt) klassifiziert. Dazu entwickeln wir eine allgemeine Methode um Homotopietheorien zu konstruieren, die sich in kovarianter (oder kontravarianter) Weise bezüglich eines gegebenen funktioriellen Zylinders verhalten. Weiterhin beweisen wir eine ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:19 March 2019
Referee:Dr. George Raptis
Date of exam:25 October 2018
Institutions:Mathematics > Prof. Dr. Ulrich Bunke
Keywords:Higher Category Theory, Cobordism Categories, Homotopy Theory
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38448
Owner only: item control page

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