Comparison of models for (∞,n)-categories, II

Julia E. Bergner; Charles Rezk

doi:10.1112/topo.12167

Comparison of models for (∞,n)-categories, II

Julia E. Bergner, Charles Rezk

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we complete a chain of explicit Quillen equivalences between the model category for (Formula presented.) -spaces and the model category of small categories enriched in (Formula presented.) -spaces. The Quillen equivalences given here connect Segal category objects in (Formula presented.) -spaces, complete Segal objects in (Formula presented.) -spaces, and (Formula presented.) -spaces.

Original language	English (US)
Pages (from-to)	1554-1581
Number of pages	28
Journal	Journal of Topology
Volume	13
Issue number	4
DOIs	https://doi.org/10.1112/topo.12167
State	Published - Dec 2020

Keywords

18D05
18D15
18D20
18G30
18G55 (secondary)
55U35
55U40 (primary)

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1112/topo.12167

Library availability

Discover UIUC Full Text

Cite this

@article{6eccddbeb7714f608e7acfcff91c1ef8,

title = "Comparison of models for (∞,n)-categories, II",

abstract = "In this paper we complete a chain of explicit Quillen equivalences between the model category for (Formula presented.) -spaces and the model category of small categories enriched in (Formula presented.) -spaces. The Quillen equivalences given here connect Segal category objects in (Formula presented.) -spaces, complete Segal objects in (Formula presented.) -spaces, and (Formula presented.) -spaces.",

keywords = "18D05, 18D15, 18D20, 18G30, 18G55 (secondary), 55U35, 55U40 (primary)",

author = "Bergner, {Julia E.} and Charles Rezk",

note = "Publisher Copyright: {\textcopyright} 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

year = "2020",

month = dec,

doi = "10.1112/topo.12167",

language = "English (US)",

volume = "13",

pages = "1554--1581",

journal = "Journal of Topology",

issn = "1753-8416",

publisher = "John Wiley & Sons, Ltd.",

number = "4",

}

TY - JOUR

T1 - Comparison of models for (∞,n)-categories, II

AU - Bergner, Julia E.

AU - Rezk, Charles

PY - 2020/12

Y1 - 2020/12

N2 - In this paper we complete a chain of explicit Quillen equivalences between the model category for (Formula presented.) -spaces and the model category of small categories enriched in (Formula presented.) -spaces. The Quillen equivalences given here connect Segal category objects in (Formula presented.) -spaces, complete Segal objects in (Formula presented.) -spaces, and (Formula presented.) -spaces.

AB - In this paper we complete a chain of explicit Quillen equivalences between the model category for (Formula presented.) -spaces and the model category of small categories enriched in (Formula presented.) -spaces. The Quillen equivalences given here connect Segal category objects in (Formula presented.) -spaces, complete Segal objects in (Formula presented.) -spaces, and (Formula presented.) -spaces.

KW - 18D05

KW - 18D15

KW - 18D20

KW - 18G30

KW - 18G55 (secondary)

KW - 55U35

KW - 55U40 (primary)

UR - http://www.scopus.com/inward/record.url?scp=85095936629&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85095936629&partnerID=8YFLogxK

U2 - 10.1112/topo.12167

DO - 10.1112/topo.12167

M3 - Article

AN - SCOPUS:85095936629

SN - 1753-8416

VL - 13

SP - 1554

EP - 1581

JO - Journal of Topology

JF - Journal of Topology

IS - 4

ER -

Comparison of models for (∞,n)-categories, II

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this