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- Quillen's_theorems_A_and_B abstract "In topology, a branch of mathematics, Quillen's Theorem A gives a sufficient condition for the classifying spaces of two categories to be homotopy equivalent. Quillen's Theorem B gives a sufficient condition for a square consisting of classifying spaces of categories to be homotopy Cartesian. Two theorems play central roles in Quilen's Q-construction in algebraic K-theory. The theorems are named after Daniel Quillen.The precise statements of the theorems are as follows.In general, the homotopy fiber of is not naturally the classifying space of a category: there is no natural category such that . Theorem B is a substitute for this problem.".
- Quillen's_theorems_A_and_B wikiPageExternalLink Kbook.html.
- Quillen's_theorems_A_and_B wikiPageID "41445293".
- Quillen's_theorems_A_and_B wikiPageRevisionID "587827636".
- Quillen's_theorems_A_and_B subject Category:Theorems_in_topology.
- Quillen's_theorems_A_and_B comment "In topology, a branch of mathematics, Quillen's Theorem A gives a sufficient condition for the classifying spaces of two categories to be homotopy equivalent. Quillen's Theorem B gives a sufficient condition for a square consisting of classifying spaces of categories to be homotopy Cartesian. Two theorems play central roles in Quilen's Q-construction in algebraic K-theory.".
- Quillen's_theorems_A_and_B label "Quillen's theorems A and B".
- Quillen's_theorems_A_and_B sameAs m.0ztd95n.
- Quillen's_theorems_A_and_B sameAs Q17126077.
- Quillen's_theorems_A_and_B sameAs Q17126077.
- Quillen's_theorems_A_and_B wasDerivedFrom Quillen's_theorems_A_and_B?oldid=587827636.
- Quillen's_theorems_A_and_B isPrimaryTopicOf Quillen's_theorems_A_and_B.