A Combinatorial-Topological Shape Category for Polygraphs

We introduce constructible directed complexes, a combinatorial presentation of higher categories inspired by constructible complexes in poset topology. Constructible directed complexes with a greatest element, called atoms, encompass common classes of higher-categorical cell shapes, including globes...

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Veröffentlicht in:	Applied categorical structures 2020-06, Vol.28 (3), p.419-476
1. Verfasser:	Hadzihasanovic, Amar
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Convex and Discrete Geometry Cubes Geometry Inclusions Mathematical Logic and Foundations Mathematics Mathematics and Statistics Polygraphs Theory of Computation Topology
Online-Zugang:	Volltext
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