Triple delooping for multiplicative hyperoperads
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00640380" target="_blank" >RIV/67985840:_____/25:00640380 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10509786
Result on the web
<a href="https://doi.org/10.1007/s10485-025-09832-0" target="_blank" >https://doi.org/10.1007/s10485-025-09832-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10485-025-09832-0" target="_blank" >10.1007/s10485-025-09832-0</a>
Alternative languages
Result language
angličtina
Original language name
Triple delooping for multiplicative hyperoperads
Original language description
Using techniques developed (Batanin and Leger in J Noncommutative Geom 13:1521–1576, 2019), we extend the Turchin/Dwyer–Hess double delooping result to further iterations of the Baez–Dolan plus construction. For, we introduce a notion of (m, n)-bimodules which extends the notions of bimodules and infinitesimal bimodules over the terminal non-symmetric operad. We show that a double delooping always exists for these bimodules. For the triple iteration of the Baez-Dolan construction starting from the initial 1-coloured operad, we provide a further reduceness condition to have a third delooping.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Categorical Structures
ISSN
0927-2852
e-ISSN
1572-9095
Volume of the periodical
33
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
36
Pages from-to
36
UT code for WoS article
001590915900001
EID of the result in the Scopus database
2-s2.0-105018691402