arXiv: Algebraic Topology最新文献_第4页

The simplicial coalgebra of chains determines homotopy types rationally and one prime at a time 链的简单协代数合理地确定同伦类型，每次确定一个素数

arXiv: Algebraic Topology Pub Date : 2020-06-09 DOI: 10.1090/tran/8579

M. Rivera, Felix Wierstra, M. Zeinalian

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引用次数: 3

From uncountable abelian groups to uncountable nonabelian groups 从不可数阿贝尔群到不可数非阿贝尔群

arXiv: Algebraic Topology Pub Date : 2020-05-20 DOI: 10.4171/rsmup/59

K. Eda

引用次数: 0

Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities 奇异流形上正标量曲率度量空间的同伦不变性

arXiv: Algebraic Topology Pub Date : 2020-05-06 DOI: 10.3842/SIGMA.2021.034

B. Botvinnik, M. Walsh

引用次数: 1

On the rational homotopy type of intersection spaces 交空间的有理同伦型

arXiv: Algebraic Topology Pub Date : 2020-04-01 DOI: 10.5427/jsing.2020.20k

Dominik J. Wrazidlo

引用次数: 1

Persistent homology and applied homotopy theory 持久同伦与应用同伦理论

arXiv: Algebraic Topology Pub Date : 2020-04-01 DOI: 10.1201/9781351251624-8

G. Carlsson

引用次数: 33

Estimate of number of simplices of triangulations of Lie groups. 李群三角剖分的简化数的估计。

arXiv: Algebraic Topology Pub Date : 2020-03-29 DOI: 10.1016/2020.107559

H. Duan, W. Marzantowicz, Xuan Zhao

引用次数: 1

Simplicial volume via normalised cycles 通过归一化循环的简单体积

arXiv: Algebraic Topology Pub Date : 2020-03-05 DOI: 10.1090/proc/15201

C. Loeh, M. Moraschini

引用次数: 0

A convenient category of locally stratified spaces 局部分层空间的方便类别

arXiv: Algebraic Topology Pub Date : 2020-02-03 DOI: 10.17638/03078614

S. Nicotra

{"title":"A convenient category of locally stratified spaces","authors":"S. Nicotra","doi":"10.17638/03078614","DOIUrl":"https://doi.org/10.17638/03078614","url":null,"abstract":"In this thesis we define the notion of a locally stratified space. Locally stratified spaces are particular kinds of streams and d-spaces which are locally modelled on stratified spaces. We construct a locally presentable and cartesian closed category of locally stratified spaces that admits an adjunction with the category of simplicial sets. Moreover, we show that the full subcategory spanned by locally stratified spaces whose associated simplicial set is an ∞-category has the structure of a category with fibrant objects. We define the fundamental category of a locally stratified space and show that the canonical functor θ_A from the fundamental category of a simplicial set A to the fundamental category of its realisation is essentially surjective. We show that the functor θ_A sends split monomorphisms to isomorphisms, in particular we show that θ_A is not necessarily an equivalence of categories. On the other hand, we show that the fundamental category of the realisation of the simplicial circle is equivalent to the monoid of the natural numbers. To conclude, we define left covers of locally stratified spaces and we show that, under suitable assumptions, the category of representations of the fundamental category of a simplicial set is equivalent to the category of left covers over its realisation.","PeriodicalId":8433,"journal":{"name":"arXiv: Algebraic Topology","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72833849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

A Morse theoretic approach to non-isolated singularities and applications to optimization 非孤立奇点的莫尔斯理论方法及其在优化中的应用

arXiv: Algebraic Topology Pub Date : 2020-02-02 DOI: 10.1016/J.JPAA.2021.106865

L. Maxim, J. Rodriguez, Botong Wang

引用次数: 9

Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation 从数论、物理和拓扑学的三个Hopf代数及其共同背景II:一般范畴公式

arXiv: Algebraic Topology Pub Date : 2020-01-23 DOI: 10.4310/cntp.2020.v14.n1.a2

Imma G'alvez-Carrillo, R. Kaufmann, A. Tonks

引用次数: 5