Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Walter Tholen"'
Autor:
Hongliang Lai, Walter Tholen
Publikováno v:
Logical Methods in Computer Science, Vol Volume 13, Issue 3 (2017)
For a quantale ${\sf{V}}$, the category $\sf V$-${\bf Top}$ of ${\sf{V}}$-valued topological spaces may be introduced as a full subcategory of those ${\sf{V}}$-valued closure spaces whose closure operation preserves finite joins. In generalization of
Externí odkaz:
https://doaj.org/article/48927ab2d47c4af5b29286e3c540aeb4
Publikováno v:
Advances in Mathematics. 426:109110
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f1bc7f269bad9004303ac38b5db0cf2
https://doi.org/10.1016/j.aim.2023.109110
https://doi.org/10.1016/j.aim.2023.109110
Autor:
Hongliang Lai, Walter Tholen
Publikováno v:
Journal of Pure and Applied Algebra. 222:2143-2163
For a small quantaloid Q , we consider 2-monads on the 2-category Q - Cat and their lax extensions to the 2-category Q - Dist of small Q -categories and their distributors, in particular those lax extensions that are normal, also called flat, in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fcffb8271ba7ed634fd6323938175e62
https://doi.org/10.1016/j.jpaa.2017.09.003
https://doi.org/10.1016/j.jpaa.2017.09.003
Autor:
Walter Tholen
Publikováno v:
Applied Categorical Structures. 26:1095-1111
When replacing the non-negative real numbers with their addition by a commutative quantale $$\mathsf{V}$$ , under a metric lens one may then view small $$\mathsf{V}$$ -categories as sets that come with a $$\mathsf{V}$$ -valued distance function. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97280e2fcbc92ad78e386e1603425bf3
https://doi.org/10.1007/s10485-018-9513-7
https://doi.org/10.1007/s10485-018-9513-7
Autor:
Walter Tholen, Hongliang Lai
Publikováno v:
Topology and its Applications. 230:599-620
For a quantale V we introduce V -valued topological spaces via V -valued point-set-distance functions and, when V is completely distributive, characterize them in terms of both, so-called closure towers and ultrafilter convergence relations. When V i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::afa4bb1089f01b67cc765b741341cadc
https://doi.org/10.1016/j.topol.2017.08.038
https://doi.org/10.1016/j.topol.2017.08.038
Propounding a general categorical framework for the extension of dualities, we present a new proof of the de Vries Duality Theorem for the category $\bf KHaus$ of compact Hausdorff spaces and their continuous maps, as an extension of a restricted Sto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d6c84b761cc87e9d75534d3fe88a0e1
Autor:
Lili Shen, Walter Tholen
Publikováno v:
Topology and its Applications. 200:212-236
In fairly elementary terms this paper presents, and expands upon, a recent result by Garner by which the notion of topologicity of a concrete functor is subsumed under the concept of total cocompleteness of enriched category theory. Motivated by some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3259dfd7db6100680ec95fa7ce8d98df
https://doi.org/10.1016/j.topol.2015.12.020
https://doi.org/10.1016/j.topol.2015.12.020
Publikováno v:
Journal of Pure and Applied Algebra. 224:106361
For a composition-closed and pullback-stable class S of morphisms in a category C containing all isomorphisms, we form the category Span ( C , S ) of S -spans ( s , f ) in C with first “leg” s lying in S , and give an alternative construction of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2cd0c98fa58806449aad3265f551187
https://doi.org/10.1016/j.jpaa.2020.106361
https://doi.org/10.1016/j.jpaa.2020.106361
Autor:
Walter Tholen, Jiyu Wang
Publikováno v:
Topology and its Applications. 273:106965
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b822601e45fd1660750af71f276abfd
https://doi.org/10.1016/j.topol.2019.106965
https://doi.org/10.1016/j.topol.2019.106965
Applying a general categorical construction for the extension of dualities, we present a new proof of the Fedorchuk duality between the category of compact Hausdorff spaces with their quasi-open mappings and the category of complete normal contact al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d1a677461cc6390a2a1cb1e0eb5c560
http://arxiv.org/abs/1808.06168
http://arxiv.org/abs/1808.06168