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Strong Homotopy Types, Nerves and Collapses

✍ Scribed by Jonathan Ariel Barmak; Elias Gabriel Minian

Publisher
Springer
Year
2011
Tongue
English
Weight
856 KB
Volume
47
Category
Article
ISSN
0179-5376

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We prove that the category of algebras over a coΓΏbrant operad admits a closed model category structure. This leads to the notion of "virtual operad algebra" -the algebra over a coΓΏbrant resolution of the given operad. In particular, virtual commutative algebras can serve to an algebraic description