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Retract conjecture on a sublattice of monoidal posets.
- Source :
- Proceedings of the American Mathematical Society; Jul2023, Vol. 151 Issue 7, p3157-3167, 11p
- Publication Year :
- 2023
-
Abstract
- Hovey and Palmieri [ The structure of the Bousfield lattice , Amer. Math. Soc., Providence, RI, 1999] proposed the retract conjecture on the Bousfield lattice of the stable homotopy category. The author, Shimomura and Tatehara [Publ. Res. Inst. Math. Sci. 50 (2014), pp. 497–513] defined the notion 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 sublattice of monoidal posets. [ABSTRACT FROM AUTHOR]
- Subjects :
- LOGICAL prediction
MATHEMATICS
PARTIALLY ordered sets
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 163280309
- Full Text :
- https://doi.org/10.1090/proc/16221