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A categorical characterization of strong Steiner ω-categories.
- Source :
-
Journal of Pure & Applied Algebra . Jul2023, Vol. 227 Issue 7, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE detectors & detection
*INTUITION
*STEINER systems
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 227
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 162108886
- Full Text :
- https://doi.org/10.1016/j.jpaa.2022.107313