RETRACT CONJECTURE ON A SUBLATTICE OF MONOIDAL POSETS

被引：0
|
作者：
Kato, Ryo [1 ]
机构：
[1] Kochi Univ Technol, Dept Core Studies, Kami 7898502, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 07期
关键词：
Bousfield lattice; Monoidal poset; Retract conjecture;
D O I：
10.1090/proc/16221
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hovey and Palmieri [The structure of the Bousfield lattice, Amer. Math. Soc., Providence, RI, 1999] proposed the retract conjecture on the Bous-field lattice of the stable homotopy category. The author, Shimomura and Tatehara [Publ. Res. Inst. Math. Sci. 50 (2014), pp. 497-513] defined the no-tion of monoidal posets as a generalization of the Bousfield lattice. In this paper, we prove that an analogue of the retract conjecture holds on a sublat-tice of monoidal posets.
引用
收藏
页码：3157 / 3167
页数：11
相关论文
共 30 条
  • [1] A retract characterization of posets with the fixed-point property
    Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, United States
    不详
    Discrete Math, 1-3 (199-203):
  • [2] A retract characterization of posets with the fixed-point property
    Brualdi, RA
    daSilva, JAD
    DISCRETE MATHEMATICS, 1997, 169 (1-3) : 199 - 203
  • [3] On the Endomorphism Conjecture for Posets with 0
    Bóna M.
    Order, 1997, 14 (3) : 191 - 192
  • [4] On the endomorphism conjecture for posets with 0
    Bona, M
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1998, 14 (03): : 191 - 192
  • [5] Generalized Bousfield Lattices and a Generalized Retract Conjecture
    Kato, Ryo
    Sifimomura, Katsumi
    Tatehara, Yutaro
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2014, 50 (03) : 497 - 513
  • [6] Evidence for a sublattice weak gravity conjecture
    Ben Heidenreich
    Matthew Reece
    Tom Rudelius
    Journal of High Energy Physics, 2017
  • [7] Evidence for a sublattice weak gravity conjecture
    Heidenreich, Ben
    Reece, Matthew
    Rudelius, Tom
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (08):
  • [8] Monoidal abelian envelopes and a conjecture of Benson and Etingof
    Coulembier, Kevin
    Entova-Aizenbud, Inna
    Heidersdorf, Thorsten
    ALGEBRA & NUMBER THEORY, 2022, 16 (09) : 2099 - 2117
  • [9] Bijective proof of a conjecture on unit interval posets
    Fang W.
    Discrete Mathematics and Theoretical Computer Science, 2024, 262
  • [10] Bijective proof of a conjecture on unit interval posets
    Fang, Wenjie
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2024, 26 (02):
123