INTEGRATION OF A CATEGORICAL OPERAD
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0201697" target="_blank" >RIV/00216305:26220/26:0201697 - isvavai.cz</a>
Result on the web
<a href="http://www.tac.mta.ca/tac/volumes/45/3/45-03abs.html" target="_blank" >http://www.tac.mta.ca/tac/volumes/45/3/45-03abs.html</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
INTEGRATION OF A CATEGORICAL OPERAD
Original language description
We describe a Grothendieck construction for non-symmetric operads with values in categories, and hence in groupoids and posets. The construction produces a 2-category which is operadically fibered over the category Δ_s of finite non-empty ordinals and surjections. We describe an inverse for the construction, yielding an equivalence of constant-free non-symmetric categorical operads and operadic 2-categories (split-)fibered over Δ_s, which resembles the correspondence of categorical presheaves and fibered categories. The result provides a new characterization of non-symmetric categorical operads and tools to study them.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2026
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theory and Applications of Categories
ISSN
1201-561X
e-ISSN
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Volume of the periodical
45
Issue of the periodical within the volume
3
Country of publishing house
CA - CANADA
Number of pages
21
Pages from-to
130-150
UT code for WoS article
001665463100001
EID of the result in the Scopus database
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