DETECTING MAPPING SPACES

被引：0
|
作者：
Bittner, Alyson [1 ]
机构：
[1] Univ Buffalo, Dept Math, Buffalo, NY 14260 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 06期
关键词：
D O I：
10.1090/proc/14905
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show if A is a finite CW-complex such that algebraic theories detect mapping spaces out of A, then A has the homology type of a wedge of spheres of the same dimension. Furthermore, if A is simply connected, then A has the homotopy type of a wedge of spheres.
引用
收藏
页码：2683 / 2693
页数：11
相关论文
共 50 条
  • [31] rational homotopy of mapping spaces
    Buijs, Urtzi
    Felix, Yves
    Murillo, Aniceto
    REVISTA MATEMATICA COMPLUTENSE, 2013, 26 (02): : 573 - 588
  • [32] LOCAL CONNECTIVITY OF MAPPING SPACES
    WADA, H
    DUKE MATHEMATICAL JOURNAL, 1955, 22 (03) : 419 - 425
  • [33] Fibrations between mapping spaces
    Pavesic, Petar
    TOPOLOGY AND ITS APPLICATIONS, 2014, 178 : 276 - 287
  • [34] CW towers and mapping spaces
    Smrekar, Jaka
    TOPOLOGY AND ITS APPLICATIONS, 2015, 194 : 93 - 117
  • [35] MAPPING THEOREMS ON MESOCOMPACT SPACES
    KAO, KS
    WU, LS
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 89 (02) : 355 - 358
  • [36] A note on localizations of mapping spaces
    Bernard Badzioch
    Wojciech Dorabiała
    Israel Journal of Mathematics, 2010, 177 : 441 - 444
  • [37] Mapping deaf academic spaces
    Dai O’Brien
    Higher Education, 2020, 80 : 739 - 755
  • [38] POWER AND DENSITY OF MAPPING SPACES
    KRIVORUCHKO, AI
    DOKLADY AKADEMII NAUK SSSR, 1975, 221 (01): : 26 - 29
  • [39] Chern forms on mapping spaces
    Magnot, Jean-Pierre
    ACTA APPLICANDAE MATHEMATICAE, 2006, 91 (01) : 67 - 95
  • [40] Challenges of mapping the missing spaces
    Gevaert, Caroline M.
    Kohli, Divyani
    Kuffer, Monika
    2019 JOINT URBAN REMOTE SENSING EVENT (JURSE), 2019,
12345