Project information
Enriched categories and their applications
(ECATA)
- Project Identification
- GA22-02964S
- Project Period
- 1/2022 - 12/2024
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
- Faculty of Science
- Cooperating Organization
-
Czech Technical University Prague
- Responsible person Ing. Matěj Dostál, Ph.D.
- Responsible person prof. RNDr. Jiří Adámek, DrSc.
The project is devoted to applications of enriched category theory to homotopical and higher-dimensional structures, to algebra, theoretical computer science and functional analysis.
Publications
Total number of publications: 14
2024
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Accessible categories with a class of limits
Journal of Pure and Applied Algebra, year: 2024, volume: 228, edition: 2, DOI
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Discrete equational theories
Mathematical Structures in Computer Science, year: 2024, volume: 34, edition: 2, DOI
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Factorization systems and double categories
Theory and Applications of Categories, year: 2024, volume: 41, edition: 18
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Fibrantly generated weak factorization systems
Rendiconti del Seminario Matematico della Universita di Padova, year: 2024, volume: 152, edition: neuvedeno, DOI
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Flatness, weakly lex colimits, and free exact completions
Annali di Matematica Pura ed Applicata, year: 2024, volume: 203, edition: 2, DOI
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On 2-categorical infinity-cosmoi
Journal of Pure and Applied Algebra, year: 2024, volume: 228, edition: 9, DOI
2023
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A skew approach to enrichment for Gray-categories
Advances in Mathematics, year: 2023, volume: 434, edition: December 2023, DOI
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Accessible infinity-cosmoi
Journal of Pure and Applied Algebra, year: 2023, volume: 227, edition: 5, DOI
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An orthogonal approach to algebraic weak factorisation systems
Journal of Pure and Applied Algebra, year: 2023, volume: 227, edition: 6, DOI
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Enriched purity and presentability in Banach spaces
Communications in Algebra, year: 2023, volume: 51, edition: 12, DOI