Homotopy posets assemble into an oriented long exact sequence analogue and form layers of a categorical Postnikov tower, with Postnikov-complete (∞,∞)-categories identified as the limit of (∞,n)-categories along truncation functors.
Quasi-categories and Kan complexes.Journal of Pure and Applied Algebra, 175(1-3):207– 222, 2002
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Homotopy Posets, Postnikov Towers, and Hypercompletions of $\infty$-Categories
Homotopy posets assemble into an oriented long exact sequence analogue and form layers of a categorical Postnikov tower, with Postnikov-complete (∞,∞)-categories identified as the limit of (∞,n)-categories along truncation functors.