64 citations · 158 across the 9 of their papers we have counts for
3 papers · 1 filter
Decomposition spaces, incidence algebras and Möbius inversion III: the decomposition space of Möbius intervals
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
Decomposition spaces are simplicial -groupoids subject to a certain exactness condition, needed to induce a coalgebra structure on the space of arrows. Conservative ULF fun…
Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
This is the second in a trilogy of papers introducing and studying the notion of decomposition space as a general framework for incidence algebras and Möbius inversion, with coeffi…
Decomposition spaces, incidence algebras and Möbius inversion I: basic theory
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
This is the first in a series of papers devoted to the theory of decomposition spaces, a general framework for incidence algebras and Möbius inversion, where algebraic identities a…