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arXiv · 2505.02051

Cyclic polytopes, orientals, and correspondences: some aspects of higher Segal spaces

Tobias Dyckerhoff
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Abstract

We discuss the role of higher Segal spaces at the interface of cyclic polytopes, orientals, and higher correspondences. Along the way we review examples from algebraic K-theory, show how cyclic polytopes provide a geometric model for the definition of orientals, and establish a characterization of higher Segal spaces as lax monadic structures in higher correspondence categories.

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Tobias Dyckerhoff. 2025-05-04. Cyclic polytopes, orientals, and correspondences: some aspects of higher Segal spaces. https://arxiv.org/abs/2505.02051

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