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Decomposition spaces in combinatorics

Author
Galvez, M.; Kock, J.; Tonks, A.
Type of activity
Report
Date
2016-12
Repository
http://hdl.handle.net/2117/102202 Open in new window
URL
https://arxiv.org/abs/1612.09225 Open in new window
Abstract
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...
Citation
Galvez, M., Kock, J., Tonks, A. "Decomposition spaces in combinatorics". 2016.
Keywords
Category Theory, Combinatorics
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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