Quillen's Theorems A and B are important results in the field of algebraic topology, particularly in the study of stable homotopy theory and the homotopy theory of categories. ### Quillen's Theorem A Quillen's Theorem A states that for a simplicial set \( X \), if the simplicial set is Kan, then its associated category of simplicial sets has the homotopy type of a CW-complex.
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