Straightening for lax transformations and adjunctions of (∞,2)-categories

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00639765" target="_blank" >RIV/67985840:_____/25:00639765 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s00029-025-01084-z" target="_blank" >https://doi.org/10.1007/s00029-025-01084-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00029-025-01084-z" target="_blank" >10.1007/s00029-025-01084-z</a>

Result language

angličtina

Original language name

Straightening for lax transformations and adjunctions of (∞,2)-categories

Original language description

We prove an unstraightening result for lax transformations between functors from an arbitrary (∞,2)-category to that of (∞,2)-categories. We apply this to characterize adjoints in (∞,2)-categories of functors and (op)lax transformations, and to prove a mate correspondence between lax transformations that are componentwise right adjoints and oplax transformations that are componentwise left adjoints, for such transformations among functors between arbitrary (∞,2)-categories.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Selecta Mathematica-New Series

ISSN

1022-1824

e-ISSN

1420-9020

Volume of the periodical

31

Issue of the periodical within the volume

4

Country of publishing house

DE - GERMANY

Number of pages

81

Pages from-to

85

UT code for WoS article

001570403000001

EID of the result in the Scopus database

2-s2.0-105016366670