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Decomposition spaces in combinatorics

Autor
Galvez, M.; Kock, J.; Tonks, A.
Tipus d'activitat
Document cientificotècnic
Data
2016-12
Repositori
http://hdl.handle.net/2117/102202 Obrir en finestra nova
URL
https://arxiv.org/abs/1612.09225 Obrir en finestra nova
Resum
A decomposition space (also called unital 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses (up to homotopy) composition, the new condition expresses decomposition. It is a general framework for incidence (co)algebras. In the present contribution, after establishing a formula for the section coefficients, we survey a large supply of examples, emphasising the notion's firm roots in classical combinatorics...
Citació
Galvez, M., Kock, J., Tonks, A. "Decomposition spaces in combinatorics". 2016.
Paraules clau
Category Theory, Combinatorics
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

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