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We extend the Quillen Theorem Bn for homotopy fibers of Dwyer, et al. tosimilar results for homotopy pullbacks and note that these results implysimilar results for zigzags in the categories of relative categories andk-relative categories, not only with respect to their Reedy structures but alsotheir Rezk structure, which turns them into models for the theories of(infinity, 1)- and (infinity, k)-categories, respectively.

Quillen Theorems Bn for homotopy pullbacks of (infinity, k)-categories