%0 Journal Article %T The infinite associahedron and R.J. Thompson's group T %A Ariadna Fossas %J Mathematics %D 2013 %I arXiv %X 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 $\mathbb{Z}/2\mathbb{Z}$. %U http://arxiv.org/abs/1303.4374v2