Rigidification of algebras over essentially algebraic theories

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Authors

ROSICKÝ Jiří

Year of publication 2015
Type Article in Periodical
Magazine / Source Applied Categorical Structures
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1007/s10485-013-9329-4
Field General mathematics
Keywords homotopy limit theory; homotopy model; rigidification
Description Badzioch and Bergner proved a rigidification theorem saying that each homotopy simplicial algebra is weakly equivalent to a simplicial algebra. The question is whether this result can be extended from algebraic theories to finite limit theories and from simplicial sets to more general monoidal model categories. We will present some answers to this question.
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