Session S27 - Categories and Topology

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Homotopy theory of digraphs: A Categorical viewpoint

Julio Sampietro

Universidad Nacional Autónoma de México, Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

A new model structure on the category of digraphs is introduced using the language of groupoids. Along the way, a comparison between different homotopies which arise from different products in the category of digraphs is made. We present an overview of how this model structure relates to existing homotopy theories of digraphs in the literature.

Joint work with Carlos Segovia (Instituto de Matemáticas Oaxaca, México).

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