发布求助
文献互助 智能选刊 最新文献

Applied Categorical Structures最新文献

筛选
英文 中文
Correction: Presenting Quotient Locales 更正:呈现商区域
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-09-07 DOI: 10.1007/s10485-023-09745-w
Graham Manuell
{"title":"Correction: Presenting Quotient Locales","authors":"Graham Manuell","doi":"10.1007/s10485-023-09745-w","DOIUrl":"10.1007/s10485-023-09745-w","url":null,"abstract":"","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09745-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43379554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coactions on (C^*)-Algebras and Universal Properties (C^*) -代数上的协同作用与全称性质
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-09-07 DOI: 10.1007/s10485-023-09741-0
Erik Bédos, S. Kaliszewski, John Quigg, Jonathan Turk
{"title":"Coactions on (C^*)-Algebras and Universal Properties","authors":"Erik Bédos,&nbsp;S. Kaliszewski,&nbsp;John Quigg,&nbsp;Jonathan Turk","doi":"10.1007/s10485-023-09741-0","DOIUrl":"10.1007/s10485-023-09741-0","url":null,"abstract":"<div><p>It is well-known that the maximalization of a coaction of a locally compact group on a C*-algebra enjoys a universal property. We show how this important property can be deduced from a categorical framework by exploiting certain properties of the maximalization functor for coactions. We also provide a dual proof for the universal property of normalization of coactions.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50013755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deriving Dualities in Pointfree Topology from Priestley Duality 从Priestley对偶导出无点拓扑中的对偶
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-09-01 DOI: 10.1007/s10485-023-09739-8
G. Bezhanishvili, S. Melzer
{"title":"Deriving Dualities in Pointfree Topology from Priestley Duality","authors":"G. Bezhanishvili,&nbsp;S. Melzer","doi":"10.1007/s10485-023-09739-8","DOIUrl":"10.1007/s10485-023-09739-8","url":null,"abstract":"<div><p>There are several prominent duality results in pointfree topology. Hofmann–Lawson duality establishes that the category of continuous frames is dually equivalent to the category of locally compact sober spaces. This restricts to a dual equivalence between the categories of stably continuous frames and stably locally compact spaces, which further restricts to Isbell duality between the categories of compact regular frames and compact Hausdorff spaces. We show how to derive these dualities from Priestley duality for distributive lattices, thus shedding new light on these classic results.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42602443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Extension of Topological Groupoids and Hurewicz Morphisms 拓扑群类群与Hurewicz态射的推广
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-08-28 DOI: 10.1007/s10485-023-09744-x
Saikat Chatterjee, Praphulla Koushik
{"title":"Extension of Topological Groupoids and Hurewicz Morphisms","authors":"Saikat Chatterjee,&nbsp;Praphulla Koushik","doi":"10.1007/s10485-023-09744-x","DOIUrl":"10.1007/s10485-023-09744-x","url":null,"abstract":"<div><p>In this paper, we introduce the notion of a topological groupoid extension and relate it to the already existing notion of a gerbe over a topological stack. We further study the properties of a gerbe over a Hurewicz (resp. Serre) stack.\u0000\u0000</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09744-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44009957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hopf Monads: A Survey with New Examples and Applications Hopf单子:新例子和应用综述
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-08-27 DOI: 10.1007/s10485-023-09732-1
Aryan Ghobadi
{"title":"Hopf Monads: A Survey with New Examples and Applications","authors":"Aryan Ghobadi","doi":"10.1007/s10485-023-09732-1","DOIUrl":"10.1007/s10485-023-09732-1","url":null,"abstract":"<div><p>We survey the theory of Hopf monads on monoidal categories, and present new examples and applications. As applications, we utilise this machinery to present a new theory of cross products, as well as analogues of the Fundamental Theorem of Hopf algebras and Radford’s biproduct Theorem for Hopf algebroids. Additionally, we describe new examples of Hopf monads which arise from Galois and Ore extensions of bialgebras. We also classify Lawvere theories whose corresponding monads on the category of sets and functions become Hopf, as well as Hopf monads on the poset of natural numbers.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09732-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41933969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions 逆半群正交作用的极大序Groupoid和Galois对应
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-08-21 DOI: 10.1007/s10485-023-09742-z
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
{"title":"Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions","authors":"Wesley G. Lautenschlaeger,&nbsp;Thaísa Tamusiunas","doi":"10.1007/s10485-023-09742-z","DOIUrl":"10.1007/s10485-023-09742-z","url":null,"abstract":"<div><p>We introduce maximal ordered groupoids and study some of their properties. Also, we use the Ehresmann–Schein–Nambooripad Theorem, which establishes a one-to-one correspondence between inverse semigroups and a class of ordered groupoids, to prove a Galois correspondence for the case of inverse semigroups acting orthogonally on commutative rings.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44517564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Categorical View of the Partite Lemma in Structural Ramsey Theory 结构拉姆齐理论中部引理的范畴观
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-08-04 DOI: 10.1007/s10485-023-09733-0
Sebastian Junge
{"title":"Categorical View of the Partite Lemma in Structural Ramsey Theory","authors":"Sebastian Junge","doi":"10.1007/s10485-023-09733-0","DOIUrl":"10.1007/s10485-023-09733-0","url":null,"abstract":"<div><p>We construct the main object of the Partite Lemma as the colimit over a certain diagram. This gives a purely category theoretic take on the Partite Lemma and establishes the canonicity of the object. Additionally, the categorical point of view allows us to unify the direct Partite Lemma in Nešetřil and Rödl (J Comb Theory Ser A 22(3):289–312, 1977; J Comb Theory Ser A 34(2):183–201, 1983; Discrete Math 75(1–3):327–334, 1989) with the dual Paritite Lemma in Solecki (J Comb Theory Ser A 117(6):704–714, 2010).</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09733-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48305338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Weighted Colimits of 2-Representations and Star Algebras 2-表示与星形代数的加权极限
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-07-22 DOI: 10.1007/s10485-023-09737-w
Mateusz Stroiński
{"title":"Weighted Colimits of 2-Representations and Star Algebras","authors":"Mateusz Stroiński","doi":"10.1007/s10485-023-09737-w","DOIUrl":"10.1007/s10485-023-09737-w","url":null,"abstract":"<div><p>We apply the theory of weighted bicategorical colimits to study the problem of existence and computation of such colimits of birepresentations of finitary bicategories. The main application of our results is the complete classification of simple transitive birepresentations of a bicategory studied previously by Zimmermann. The classification confirms a conjecture he has made.\u0000</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09737-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47559798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Presenting Quotient Locales 表示商区域
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-07-21 DOI: 10.1007/s10485-023-09736-x
Graham Manuell
{"title":"Presenting Quotient Locales","authors":"Graham Manuell","doi":"10.1007/s10485-023-09736-x","DOIUrl":"10.1007/s10485-023-09736-x","url":null,"abstract":"<div><p>It is often useful to be able to deal with locales in terms of presentations of their underlying frames, or equivalently, the geometric theories which they classify. Given a presentation for a locale, presentations for its sublocales can be obtained by simply appending additional relations, but the case of quotient locales is more subtle. We provide simple procedures for obtaining presentations of open quotients, proper quotients or general triquotients from presentations of the parent locale. The results are proved with the help of the suplattice, preframe and dcpo coverage theorems and applied to obtain presentations of the circle from ones for <span>(mathbb {R})</span> and [0, 1].</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09736-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42361339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Yoneda Lemma for Simplicial Spaces 简单空间的Yoneda引理
IF 0.6 4区 数学
Applied Categorical Structures Pub Date : 2023-07-11 DOI: 10.1007/s10485-023-09734-z
Nima Rasekh
{"title":"Yoneda Lemma for Simplicial Spaces","authors":"Nima Rasekh","doi":"10.1007/s10485-023-09734-z","DOIUrl":"10.1007/s10485-023-09734-z","url":null,"abstract":"<div><p>We study the Yoneda lemma for arbitrary simplicial spaces. We do that by introducing <i>left fibrations</i> of simplicial spaces and studying their associated model structure, the <i>covariant model structure</i>. In particular, we prove a <i>recognition principle</i> for covariant equivalences over an arbitrary simplicial space and <i>invariance</i> of the covariant model structure with respect to complete Segal space equivalences.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-023-09734-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42970719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信