Project information
Enriched categories and their applications
(ECATA)
- Project Identification
- GA22-02964S
- Project Period
- 1/2022 - 12/2024
- Investor / Pogramme / Project type
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Czech Science Foundation
- Standard Projects
- MU Faculty or unit
-
Faculty of Science
- doc. John Denis Bourke, PhD
- Mgr. Jan Jurka, Ph.D.
- Michael Joseph Lieberman, B.A., Ph.D.
- prof. RNDr. Jiří Rosický, DrSc.
- Raffael Stenzel, PhD
- Mgr. Miloslav Štěpán, Ph.D.
- doc. Lukáš Vokřínek, PhD.
- Cooperating Organization
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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.
Sustainable Development Goals
Masaryk University is committed to the UN Sustainable Development Goals, which aim to improve the conditions and quality of life on our planet by 2030.
Publications
Total number of publications: 22
2024
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Fibrantly generated weak factorization systems
Rendiconti del Seminario Matematico della Universita di Padova, year: 2024, volume: 152, edition: August, 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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Notions of enriched purity
Theory and Applications of Categories, year: 2024, volume: 41, edition: 58
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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
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On notions of compactness, object classifiers, and weak Tarski universes
Mathematical Structures in Computer Science, year: 2023, volume: 33, edition: 8, DOI
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Smallness in topology
Quaestiones Mathematicae, year: 2023, volume: 46, edition: S1, DOI