The infinite associahedron and R. J. Thompson's group \(T\)
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Publication:2018832
DOI10.1007/s40062-013-0046-3zbMath1355.20032arXiv1303.4374OpenAlexW2011656149MaRDI QIDQ2018832
Publication date: 25 March 2015
Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.4374
automorphism groupscellular complexescontractible spacesR. J. Thompson's groupsStasheff's associahedra
General topology of complexes (57Q05) Geometric group theory (20F65) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38)
Cites Work
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- Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift
- The braided Ptolemy-Thompson group is asynchronously combable
- An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
- The action of Thompson's group on a CAT(0) boundary.
- Introductory notes on Richard Thompson's groups
- The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
- On a universal mapping class group of genus zero
- Actions of picture groups on CAT(0) cubical complexes.
- The associahedron and triangulations of the \(n\)-gon
- Homotopy invariant algebraic structures on topological spaces
- Realization of the Stasheff polytope
- Thompson's group \(\mathcal T\) is the orientation-preserving automorphism group of a cellular complex
- The braided Ptolemy-Thompson group is finitely presented.
- A proof that Thompson's groups have infinitely many relative ends
- Asymptotically rigid mapping class groups and Thompson's groups
- On Two Properties of Free Algebras.
- Groups of Piecewise Linear Homeomorphisms
- On the semisimplicity of polyhedral isometries
- Polytopal Realizations of Generalized Associahedra
- $PSL(2,\mathbb{Z})$ as a non-distorted subgroup of Thompson's group T
- Homotopy Associativity of H-Spaces. I
- Combinatorial homotopy. I
- Combinatorial homotopy. II
- Monoïdes préordonnés et chaînes de Malcev
- Finiteness properties of groups