On homotopy varieties
Authors | |
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Year of publication | 2007 |
Type | Article in Periodical |
Magazine / Source | Advances in Mathematics |
MU Faculty or unit | |
Citation | |
Field | General mathematics |
Keywords | simplicial category;model category;homotopy colimit;homotopy algebra |
Description | Given an algebraic theory, a homotopy algebra is a simplicial set where all equations hold up to homotopy. Homotopy algebras form a homotopy variety. There is given a characterization of homotopy variety analogous to that of varieties. |
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