An etale van Kampen theorem for simplicial sheaves

被引:0
|
作者
Misamore, Michael D.
机构
[1] University of Western Ontario, London
关键词
D O I
10.1016/j.jpaa.2014.12.023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A comparison of the etale homotopy type of a geometrically pointed simplicial sheaf and that of its standard and twisted fibred sites is demonstrated. This result is applied to yield an etale van Kampen theorem for representable geometrically pointed connected simplicial sheaves under suitable hypotheses on the ambient site. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:3823 / 3846
页数:24
相关论文
共 50 条
  • [1] Nonabelian H1 and the Etale Van Kampen Theorem
    Misamore, Michael D.
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2011, 63 (06): : 1388 - 1415
  • [2] On the Zariski-van Kampen theorem
    Shimada, I
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2003, 55 (01): : 133 - 156
  • [3] A note on the categorical van Kampen Theorem
    Clementino, Maria Manuel
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (07) : 926 - 929
  • [4] On a Van Kampen theorem for Hawaiian groups
    Babaee, Ameneh
    Mashayekhy, Behrooz
    Mirebrahimi, Hanieh
    Torabi, Hamid
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2018, 241 : 252 - 262
  • [5] A Van Kampen type theorem for coincidences
    Borsari, LD
    Gonçalves, DL
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2000, 101 (02) : 149 - 160
  • [6] On the van Kampen-Flores theorem
    Volovikov, AY
    [J]. MATHEMATICAL NOTES, 1996, 59 (5-6) : 477 - 481
  • [7] VAN-KAMPEN THEOREM IN SHAPE THEORY
    KADLOF, A
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (04): : 395 - 400
  • [8] A van Kampen theorem for equivariant fundamental groupoids
    Bullejos, Manuel
    Scull, Laura
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (09) : 2059 - 2068
  • [9] van Kampen–Flores Theorem for Cell Complexes
    Daisuke Kishimoto
    Takahiro Matsushita
    [J]. Discrete & Computational Geometry, 2024, 71 : 1081 - 1091
  • [10] A projective model structure on pro-simplicial sheaves, and the relative etale homotopy type
    Barnea, Ilan
    Schlank, Tomer M.
    [J]. ADVANCES IN MATHEMATICS, 2016, 291 : 784 - 858