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The Hopf algebra of finite topologies and mould composition
The Hopf algebra of finite topologies and mould composition
- Source :
- Annales de l'Institut Fourier, Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2017, Annales de l'Institut Fourier, 2017, 67 (3), pp.911-945. ⟨10.5802/aif.3100⟩
- Publication Year :
- 2017
- Publisher :
- Cellule MathDoc/CEDRAM, 2017.
-
Abstract
- We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of "quasi-ormoulds", which are the natural version of J. Ecalle's moulds in this setting. All these results are displayed in the linear species formalism.<br />Comment: 23 pages, one axodraw figure, Acknowledgements added
- Subjects :
- Pure mathematics
Algebra and Number Theory
espaces topologiques finis
algèbres de Hopf
Mathematics::Rings and Algebras
010102 general mathematics
calcul moulien
Coproduct
préordres
Hopf algebra
Network topology
01 natural sciences
Formalism (philosophy of mathematics)
ASM: 05E05, 06A11, 16T30
ensembles partiellement ordonnés
[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
0103 physical sciences
Mathematics - Combinatorics
010307 mathematical physics
Geometry and Topology
[MATH]Mathematics [math]
0101 mathematics
05E05, 06A11, 16T30
Mathematics
Subjects
Details
- ISSN :
- 17775310 and 03730956
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- Annales de l’institut Fourier
- Accession number :
- edsair.doi.dedup.....ac8f1d95292ca8d3c30f681b81ddf392
- Full Text :
- https://doi.org/10.5802/aif.3100