The infinite associahedron and R.J. Thompson's group T

2013/03/18 by Ariadna Fossas, Fossas, Ariadna · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.GR

paper · pdf · doi:10.48550/arxiv.1303.4374

openalex publication_date 2013/03/18 · arxiv created 2013/03/20 · arxiv updated 2013/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct a cellular complex which is an infinite analogue to Stasheff's associahedra. We prove that it is contractible and state that its (combinatorial) automorphism group is isomorphic to a semi-direct product of R.J. Thompson's group T with ℤ/2ℤ.

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