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math.CO2017★ 14 cited
Decomposition spaces and restriction species
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
We show that Schmitt's restriction species (such as graphs, matroids, posets, etc.) naturally induce decomposition spaces (a.k.a. unital 2-Segal spaces), and that their associated…
math.CO2016
Decomposition spaces in Combinatorics
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
A decomposition space (also called 2-Segal space) is a simplicial object satisfying an exactness condition weaker than the Segal condition: just as the Segal condition expresses co…