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A simplicial James–Hopf map and decompositions of the unstable Adams spectral sequence for suspensions
- Source :
- Algebr. Geom. Topol. 19, no. 1 (2019), 77-108
- Publication Year :
- 2019
- Publisher :
- MSP, 2019.
-
Abstract
- We use combinatorial group theory methods to extend the definition of a classical James-Hopf invariant to a simplicial group setting. This allow us to realize certain coalgebra idempotents at sSet -level and obtain a functorial decomposition of the spectral sequence, associated with the lower p-central series filtration on the free simplicial group.<br />Comment: 25 pages
- Subjects :
- loop space decompositions
Pure mathematics
Series (mathematics)
Group (mathematics)
Mathematics::Rings and Algebras
Combinatorial group theory
Mathematics::Algebraic Topology
18G30
Adams spectral sequence
Mathematics::Category Theory
Spectral sequence
unstable Adams spectral sequence
Filtration (mathematics)
FOS: Mathematics
Milnor's construction
Algebraic Topology (math.AT)
Mathematics - Algebraic Topology
Geometry and Topology
James–Hopf invariants
Hopf fibration
Invariant (mathematics)
55P35 (Primary), 55T15 (Secondary)
55P35
55T15
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Algebr. Geom. Topol. 19, no. 1 (2019), 77-108
- Accession number :
- edsair.doi.dedup.....60d394cce6ae2731515dfb53b05bce97