4 citations · 8 across the 4 of their papers we have counts for
4 papers
Most unexposed taut one-relator presentation 2-complexes are finitely unsplittable
Fredric D. Ancel, Pete Sparks
The main result of this article is that among the family of one-relator presentation 2-complexes that might be expected to be finitely unsplittable (not the union of two proper sub…
Generalized dunce hats are not splittable
Fredric Ancel, Pete Sparks
A \emph{generalized dunce hat} is a 2-dimensional polyhedron created by attaching the boundary of a disk to a circle via a map with the property that th…
The Double n-Space Property for Contractible n-Manifolds
Pete Sparks
Motivated by a recent paper of Gabai on the Whitehead contractible 3-manifold, we investigate contractible manifolds which decompose or split as where $A,B…
Contractible n-Manifolds and the Double n-Space Property
Pete Sparks
We are interested in contractible n-manifolds M which "split" as M = A union B where A,B, and A intersect B are all homeomorphic to Euclidean n-space (such M are called open n-spli…