Abstract
We show how 2-Segal spaces can be naturally interpreted in the context of the (∞, 2)-categorical theory of spans developed in § 10. More precisely, we will functorially associate to a unital 2-Segal space X a monad in the (∞, 2)-category of bispans in spaces, called higher Hall monad of X.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lurie, J.: Derived algebraic geometry II: noncommutative algebra. ArXiv Mathematics e-prints (2007)
Lurie, J.: Higher Topos Theory. Annals of Mathematics Studies, vol. 170. Princeton University Press, Princeton (2009)
Street, R.: The formal theory of monads. J. Pure Appl. Algebra 2(2), 149–168 (1972)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Dyckerhoff, T., Kapranov, M. (2019). 2-Segal Spaces as Monads in Bispans. In: Higher Segal Spaces. Lecture Notes in Mathematics, vol 2244. Springer, Cham. https://doi.org/10.1007/978-3-030-27124-4_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-27124-4_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-27122-0
Online ISBN: 978-3-030-27124-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)