Quillen's theorems A and B
id:
quillen-s-theorems-a-and-b-256-15697034
title:
Quillen's theorems A and B
text:
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. The two theorems play central roles in Quillen's Q-construction in algebraic K-theory and are named after Daniel Quillen. The precise statements of the theorems are as follows. In general, the homotopy fibe
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wiki
category slug:
encyclopedia
description:
Two theorems needed for Quillen's Q-construction in algebraic K-theory
original url:
https://en.wikipedia.org/wiki/Quillen%27s_theorems_A_and_B
date created:
date modified:
2023-07-06T15:26:07Z
main entity:
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fields total:
13
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14