Minimal resolutions and other minimal models.

Título inglés Minimal resolutions and other minimal models.
Título español Resoluciones mínimas y otros modelos mínimos.
Autor/es Roig, Agustí
Organización Dep. Mat. Apl. I ETSEIB Univ. Politèc. Catalunya, Barcelona, España
Revista 0214-1493
Publicación 1993, 37 (2): 285-303, 15 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés In many situations, minimal models are used as representatives of homotopy types. In this paper we state this fact as an equivalence of categories. This equivalence follows from an axiomatic definition of minimal objects. We see that this definition includes examples such as minimal resolutions of Eilenberg-Nakayama-Tate, minimal fiber spaces of Kan and Λ-minimal Λ-extensions of Halperin. For the first one, this is done by generalizing the construction of minimal resolutions of modules to complexes. The others follow by a caracterization of minimal objects in bifibred categories.
Clasificación UNESCO 120100
Palabras clave español Homotopía ; Categorías ; Functores
Código MathReviews MR1249232
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