Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Jiří Rosický"'
Autor:
Jiří Rosický, Jan Jurka
Publikováno v:
Order. 39:71-76
We show that the category $\mathbf{CPO}$ of chain-complete posets is not co-wellpowered but that it is weakly co-wellpowered. This implies that $\mathbf{CPO}$ is nearly locally presentable.
6 pages
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c296ada8e560b9d333ae3c0cbacdb96
https://doi.org/10.1007/s11083-021-09567-2
https://doi.org/10.1007/s11083-021-09567-2
Publikováno v:
Journal of Pure and Applied Algebra. 227:107245
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d759aacf0cd479b6eabca0ef6071f6e
https://doi.org/10.1016/j.jpaa.2022.107245
https://doi.org/10.1016/j.jpaa.2022.107245
Autor:
G. Raptis, Jiří Rosický
Publikováno v:
Homology, Homotopy and Applications. 23:375-378
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62cd8b351ab5a7f151b81814d8958833
https://doi.org/10.4310/hha.2021.v23.n2.a20
https://doi.org/10.4310/hha.2021.v23.n2.a20
Publikováno v:
Journal of Algebra. 560:1297-1310
We show that pure monomorphisms are cofibrantly generated—generated from a set of morphisms by pushouts, transfinite composition, and retracts—in any locally finitely presentable additive category. In particular, this is true in any category of R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58d8894bb806ee12e14b1043239b0952
https://doi.org/10.1016/j.jalgebra.2020.05.036
https://doi.org/10.1016/j.jalgebra.2020.05.036
Publikováno v:
Israel Journal of Mathematics. 238:243-278
Accessible categories admit a purely category-theoretic replacement for cardinality: the internal size. Generalizing results and methods from [LRV19b], we examine set-theoretic problems related to internal sizes and prove several Lowenheim–Skolem t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e2384717d5b7d9685134e1f8c70eb32
https://doi.org/10.1007/s11856-020-2018-8
https://doi.org/10.1007/s11856-020-2018-8
Publikováno v:
Journal of Pure and Applied Algebra. 223:4560-4582
Working in the context of $\mu$-abstract elementary classes ($\mu$-AECs) - or, equivalently, accessible categories with all morphisms monomorphisms - we examine the two natural notions of size that occur, namely cardinality of underlying sets and int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7ebc614d0f6f5c5d24c3550410f6d5c
https://doi.org/10.1016/j.jpaa.2019.02.004
https://doi.org/10.1016/j.jpaa.2019.02.004
Autor:
Jiří Rosický, Miroslav Hušek
Publikováno v:
Topology and its Applications. 259:251-266
Investigating dual local presentability of some topological and uniform classes, a new procedure is developed for factorization of maps defined on subspaces of products and a new characterization of local presentability is produced. The factorization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ef5a5ad3a5ceab066fa1106b0911a1d
https://doi.org/10.1016/j.topol.2019.02.033
https://doi.org/10.1016/j.topol.2019.02.033
Autor:
Jiří Adámek, Jiří Rosický
A variety is a category of ordered (finitary) algebras presented by inequations between terms. We characterize categories enriched over the category of posets which are equivalent to a variety. This is quite analogous to Lawvere's classical character
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ccdc99c91054c5a202f9f2f62e8069b
Autor:
Jiří Rosický, Jiří Adámek
Properties of categories enriched over the category of metric spaces are investigated and applied to a study of constructions known from that category and the category of Banach spaces. For every class of morphisms satisfying a mild smallness conditi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff66e766ac2558e451a88a2114c3ed91
http://arxiv.org/abs/2006.01399
http://arxiv.org/abs/2006.01399
Autor:
Jiří Rosický
We develop universal algebra over an enriched category $\mathcal K$ and relate it to finitary enriched monads over $\mathcal K$. Using it, we deduce recent results about ordered universal algebra where inequations are used instead of equations. Then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3fb8b798c006f2eb35f662faf2c7c31