A Categorical Model for the Hopf Fibration

2018/04/20 by Björn Gohla, Gohla, Björn
Mathematics · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1804.07857

openalex publication_date 2018/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a description up to homeomorphism of S³ and S² as classifying spaces of small categories, such that the Hopf map S³→S² is the realization of a functor.

Related

• On the classification of fibrations
• A Twisted Version of the Classifying Space Functor
• A simplicial model for the Hopf map
• Hopf algebroids, Hopf categories and their Galois theories
• A model structure on the category of diffeological spaces