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Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness

Author
Galvez, M.; Kock, J.; Tonks, A.
Type of activity
Report
Date
2015-12
Project funding
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Geometria de varietats i aplicacions
Geometry and topology of varieties, algebra and applications
Repository
http://hdl.handle.net/2117/84103 Open in new window
URL
http://arxiv.org/abs/1512.07577 Open in new window
Abstract
This is part 2 of a trilogy of papers introducing and studying the notion of decomposition space as a general framework for incidence algebras and Möbius inversion, with coefficients in 8-groupoids. A decomposition space is a simplicial 8-groupoid satisfying an exactness condition weaker than the Segal condition. Just as the Segal condition expresses up-to-homotopy composition, the new condition expresses decomposition. In this paper, we introduce various technical conditions on decomposition ...
Citation
Galvez, M., Kock, J., Tonks, A. "Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness". 2015.
Keywords
Algebraic Topology, Combinatorics
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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