On homotopy varieties

• Autores: Jirí Rosický
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 214, Nº 2, 2007, págs. 525-550
• Idioma: inglés
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• Resumen

  • Given an algebraic theory T, a homotopy T-algebra is a simplicial set where all equations from T hold up to homotopy. All homotopy T-algebras form a homotopy variety. We will give a characterization of homotopy varieties analogous to the characterization of varieties.