Higher Segal spaces are characterized as lax monads in higher correspondence categories, with cyclic polytopes providing the geometric backbone and orientals emerging as boundary data.
Triangulated surfaces in triangulated categories
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Cyclic polytopes, orientals, and correspondences: some aspects of higher Segal spaces
Higher Segal spaces are characterized as lax monads in higher correspondence categories, with cyclic polytopes providing the geometric backbone and orientals emerging as boundary data.