10 citations · 15 across the 4 of their papers we have counts for
4 papers
The geometry of oriented cubes
Iain R. Aitchison
This reports on the fundamental objects revealed by Ross Street, which he called `orientals'. Street's work was in part inspired by Robert's attempts to use N-category ideas to con…
Cusped hyperbolic 3-manifolds: canonically CAT(0) with CAT(0) spines
Iain R. Aitchison
We prove that every finite-volume hyperbolic 3-manifold M with p > 0 cusps admits a canonical, complete, piecewise Euclidean CAT(0) metric, with a canonical projection to a CAT(0)…
All finitely presentable groups from link complements and Kleinian groups
Iain R. Aitchison
We prove that every finitely presentable group G arises as the fundamental group of an orientable 3-complex obtained from a hyperbolic link complement, by coning each boundary toru…
The `Holiverse': holistic eversion of the 2-sphere in
Iain R. Aitchison
We give a short, simple and conceptual proof, based on spin structures, of sphere eversion: an embedded 2-sphere in can be turned inside out by regular homotopy. Ingredients…