A categorical characterization of strong Steiner ω-categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00567265" target="_blank" >RIV/67985840:_____/23:00567265 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jpaa.2022.107313" target="_blank" >https://doi.org/10.1016/j.jpaa.2022.107313</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2022.107313" target="_blank" >10.1016/j.jpaa.2022.107313</a>

Result language
angličtina
Original language name
A categorical characterization of strong Steiner ω-categories
Original language description
Strong Steiner ω-categories are a class of ω-categories that admit algebraic models in the form of chain complexes, whose formalism allows for several explicit computations. The conditions defining strong Steiner ω-categories are traditionally expressed in terms of the associated chain complex, making them somewhat disconnected from the ω-categorical intuition. The purpose of this paper is to characterize this class as the class of ω-categories generated by polygraphs that satisfy a loop-freeness condition that does not make explicit use of the associated chain complex and instead relies on the categorical features of ω-categories.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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