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Decomposition spaces and restriction species

Author
Galvez, M.; Kock, J.; Tonks, A.
Type of activity
Journal article
Journal
International mathematics research notices
Date of publication
2018-09-12
First page
1
Last page
44
DOI
10.1093/imrn/rny089
Project funding
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Geometry and topology of varieties, algebra and applications
Repository
http://hdl.handle.net/2117/130730 Open in new window
https://arxiv.org/abs/1708.02570 Open in new window
URL
https://academic.oup.com/imrn/advance-article-abstract/doi/10.1093/imrn/rny089/5095270 Open in new window
Abstract
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 coalgebras are an instance of the general construction of incidence coalgebras of decomposition spaces. We introduce directed restriction species that subsume Schmitt’s restriction species and also induce decomposition spaces. Whereas ordinary restriction species are presheaves on the category of finite sets and in...
Citation
Galvez, M.; Kock, J.; Tonks, A. Decomposition spaces and restriction species. "International mathematics research notices", 12 Setembre 2018, p. 1-44.
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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