Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Enrico Vitale"'
Publikováno v:
Journal of Algebra, Vol. 593, no.np, p. 105-141 (2021)
We set up a fibred categorical theory of obstruction and classification of morphisms that specialises to the one of monoidal functors between categorical groups and also to the Schreier-Mac Lane theory of group extensions. Further applications are pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43399d58500a32eecfc01efe1ab4ac49
http://hdl.handle.net/10447/525060
http://hdl.handle.net/10447/525060
Publikováno v:
Applied Categorical Structures. 26:1015-1039
We characterize fibrations and $$*$$ -fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the corresponding strong homotopy pullbacks. As an application, we deduce the internal version of th
Autor:
Enrico Vitale, Zurab Janelidze
Publikováno v:
Journal of Pure and Applied Algebra. 221:135-143
In this paper we explore the snail lemma in a pointed regular category. In particular, we show that under the presence of cokernels of kernels, the validity of the snail lemma is equivalent to subtractivity of the category. As a corollary, this gives
Publikováno v:
Advances in Mathematics, Vol. 360, p. 106899 (2020)
In this paper we start by pointing out that Yoneda's notion of a regular span $S \colon \mathcal{X} \to \mathcal{A} \times \mathcal{B}$ can be interpreted as a special kind of morphism, that we call fiberwise opfibration, in the 2-category $\mathsf{F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9829339639bbf37c7fd74871382a6a81
http://arxiv.org/abs/1806.02376
http://arxiv.org/abs/1806.02376
We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a π 0 - π 1 exact sequence associated with a fractor between groupoids internal to a pointed exact category.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b2304cdbac10d52727afb1a1808a421
http://arxiv.org/abs/1707.00873
http://arxiv.org/abs/1707.00873
We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact sequence associated with a fibration of pointed groupoids. Our generalization consists in re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04870cbaf73762506bc5b131b56d68b7
http://arxiv.org/abs/1707.00875
http://arxiv.org/abs/1707.00875
Publikováno v:
Journal of Pure and Applied Algebra. 217:1173-1186
We study internal profunctors and their normalization under various conditions on the base category. In the Mal'tsev case we give an easy characterization of profunctors. Moreover, when the base category is regular with any regular epimorphism effect
Publikováno v:
Algebraic Theories. :207-226
Publikováno v:
Algebraic Theories. :227-231
Publikováno v:
Algebraic Theories. :232-240