Academic literature on the topic 'Category FI of finite sets and injections'
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Journal articles on the topic "Category FI of finite sets and injections":
Jiao, Pengjie. "The generalized auslander–reiten duality on a module category." Proceedings of the Edinburgh Mathematical Society 65, no. 1 (January 19, 2022): 167–81. http://dx.doi.org/10.1017/s0013091521000869.
Sam, Steven V., and Andrew Snowden. "Representations of categories of G-maps." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 750 (May 1, 2019): 197–226. http://dx.doi.org/10.1515/crelle-2016-0045.
Dubsky, Brendan. "Incidence Category of the Young Lattice, Injections Between Finite Sets, and Koszulity." Algebra Colloquium 28, no. 02 (May 11, 2021): 195–212. http://dx.doi.org/10.1142/s1005386721000171.
CHEN, RUIYUAN. "AMALGAMABLE DIAGRAM SHAPES." Journal of Symbolic Logic 84, no. 1 (February 5, 2019): 88–101. http://dx.doi.org/10.1017/jsl.2018.87.
Liu, Ye. "On Chromatic Functors and Stable Partitions of Graphs." Canadian Mathematical Bulletin 60, no. 1 (March 1, 2017): 154–64. http://dx.doi.org/10.4153/cmb-2016-047-3.
Mahadevan, Sridhar. "Universal Causality." Entropy 25, no. 4 (March 27, 2023): 574. http://dx.doi.org/10.3390/e25040574.
Gálvez-Carrillo, Imma, Joachim Kock, and Andrew Tonks. "Decomposition Spaces and Restriction Species." International Mathematics Research Notices 2020, no. 21 (September 12, 2018): 7558–616. http://dx.doi.org/10.1093/imrn/rny089.
Richter, Birgit, and Steffen Sagave. "A strictly commutative model for the cochain algebra of a space." Compositio Mathematica 156, no. 8 (August 2020): 1718–43. http://dx.doi.org/10.1112/s0010437x20007319.
Draisma, Jan, Rob Eggermont, and Azhar Farooq. "Components of symmetric wide-matrix varieties." Journal für die reine und angewandte Mathematik (Crelles Journal), October 25, 2022. http://dx.doi.org/10.1515/crelle-2022-0064.
Sagave, Steffen, and Stefan Schwede. "Homotopy Invariance of Convolution Products." International Mathematics Research Notices, January 8, 2020. http://dx.doi.org/10.1093/imrn/rnz334.
Dissertations / Theses on the topic "Category FI of finite sets and injections":
Feltz, Antoine. "Foncteurs polynomiaux sur les catégories FId." Electronic Thesis or Diss., Strasbourg, 2024. http://www.theses.fr/2024STRAD002.
In this thesis we introduce different notions (strong and weak) of polynomial functors over the categories FId and we study their behaviour. We also adapt the classical definition of polynomial functors (based on cross effects) to the framework of FId, and we show that the two definitions obtained coincide. The polynomial functors over FId turn out to be harder to study than over FI. For example, the standard projectives are strong polynomial over FI and we show that this is no longer the case over FId for d > 1. We then study different polynomial quotients of these functors. We also initiate the study of the polynomiality of the functors considered by Ramos by explicitly calculating the functors associated with linear graphs. However, the strong notion of polynomial functors lacks essential properties concerning stable phenomena. We then introduce the weak polynomial functors by considering the quotient by a subcategory in order to eliminate the problematic functors. While the weak polynomial functors of degree 0 over FI are the constant functors, we give a description of those over FId which form a more complex category. We deduce that a direct adaptation of the methods used by Djament and Vespa for FI does not work