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pro vyhledávání: '"A. Tendas"'
Autor:
Tendas, Giacomo
Working within enriched category theory, we further develop the use of soundness, introduced by Ad\'amek, Borceux, Lack, and Rosick\'y for ordinary categories. In particular we investigate: (1) the theory of locally $\Phi$-presentable $\mathcal V$-ca
Externí odkaz:
http://arxiv.org/abs/2409.00389
Autor:
Rosický, Jiří, Tendas, Giacomo
Building on our previous work on enriched universal algebra, we define a notion of enriched language consisting of function and relation symbols whose arities are objects of the base of enrichment. In this context, we construct atomic formulas and de
Externí odkaz:
http://arxiv.org/abs/2406.12617
Autor:
Rosický, Jiří, Tendas, Giacomo
Following the classical approach of Birkhoff, we suggest an enriched version of enriched universal algebra. Given a suitable base of enrichment $\mathcal V$, we define a language $\mathbb L$ to be a collection of $(X,Y)$-ary function symbols whose ar
Externí odkaz:
http://arxiv.org/abs/2310.11972
Autor:
O. Annibali, C. Pensieri, V. Tomarchio, V. Biagioli, M. Pennacchini, A. Tendas, V. Tambone, M. C. Tirindelli
Publikováno v:
International Journal of Hematology-Oncology and Stem Cell Research, Vol 11, Iss 4 (2017)
Background: Patients with haematological malignancies are often hospitalized in protective isolation until full neutrophil recovery in order to prevent infections. This descriptive pilot study evaluate the level of isolation-related distress and the
Externí odkaz:
https://doaj.org/article/477b279fe08d481c99d90dafbde0b4d9
Autor:
Tendas, Giacomo
Publikováno v:
Annali di Matematica Pura ed Applicata, 2023
We capture in the context of lex colimits, introduced by Garner and Lack, the universal property of the free regular and Barr-exact completions of a weakly lex category. This is done by introducing a notion of flatness for functors $F\colon\mathcal C
Externí odkaz:
http://arxiv.org/abs/2304.09000
Autor:
Rosický, Jiří, Tendas, Giacomo
We introduce the enriched notions of purity depending on the left class $\mathcal E$ of a factorization system on the base $\mathcal V$ of enrichment. The ordinary purity is given by the class of surjective mappings in the category of sets. Under spe
Externí odkaz:
http://arxiv.org/abs/2303.11957
Autor:
Tendas, Giacomo
Using the notion of companion introduced in a previous paper with Lack, we recover all the known dualities involving accessible categories with a class of limits, as instances of a general duality theorem. These include the Gabriel-Ulmer duality for
Externí odkaz:
http://arxiv.org/abs/2302.06273
Autor:
Lack, Stephen, Tendas, Giacomo
Publikováno v:
Journal of Pure and Applied Algebra, 228(2):107444, 2024
In this paper we characterize those accessible $\mathcal V$-categories that have limits of a specified class. We do this by introducing the notion of companion $\mathfrak C$ for a class of weights $\Psi$, as a collection of special types of colimit d
Externí odkaz:
http://arxiv.org/abs/2212.07135
Autor:
Ferrari, Simone1 ferraris@unica.it, Tendas, Luca1
Publikováno v:
EPJ Web of Conferences. 7/4/2024, Vol. 299, p1-10. 10p.
Autor:
Lack, Stephen, Tendas, Giacomo
Publikováno v:
Journal of Pure and Applied Algebra, 227(2):107196, 2023
We provide a new characterization of enriched accessible categories by introducing the two new notions of virtual reflectivity and virtual orthogonality as a generalization of the usual reflectivity and orthogonality conditions for locally presentabl
Externí odkaz:
http://arxiv.org/abs/2205.11056