Higher Segal Spaces

• Main Authors: Dyckerhoff, Tobias (Author, http://id.loc.gov/vocabulary/relators/aut), Kapranov, Mikhail (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Lecture Notes in Mathematics, 2244
• Subjects: Category theory (Mathematics).; Homological algebra.; K-theory.; Algebraic topology.; Category Theory, Homological Algebra.; K-Theory.; Algebraic Topology.

This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a d-Segal space, which is a simplicial space satisfying locality conditions related to triangulations of d-dimensional cyclic polyto...