|
|||||
 |
|
|
|
|
|
|
Discreteness and
completeness for $\Theta_n$-models of
$(\infty,n)$-categories
Julia E. Bergner |
|
Vol. 6 (2024), No. 1, 49–96
|
Abstract |
|
We establish cartesian model structures for variants of -spaces in which we replace some or all of the completeness conditions by discreteness conditions. We prove that they are all equivalent to each other and to the -space model, and we give a criterion for which combinations of discreteness and completeness give nonoverlapping models. These models can be thought of as generalizations of Segal categories in the framework of -diagrams. In the process, we give a characterization of the Dwyer–Kan equivalences in the -space model, generalizing the one given by Rezk for complete Segal spaces. |
PDF Access Denied
We have not been able to recognize your IP address
3.141.7.7
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
$(\infty,n)$-categories, model categories,
$\Theta_n$-spaces, Segal categories, Dwyer–Kan equivalences
|
Mathematical Subject Classification
Primary: 18N65, 18N50, 18N40
Secondary: 55U35, 55U40, 18D15, 18D20, 18G30, 18G55
|
Milestones
Received: 21 October 2022
Revised: 12 May 2023
Accepted: 29 May 2023
Published: 20 January 2024
|
Authors |
| Julia E. Bergner | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
|
| © 2024 MSP (Mathematical Sciences Publishers). |
