8 citations · 24 across the 8 of their papers we have counts for
5 papers · 1 filter
Contractible 3-manifolds and the double 3-space property
Dennis J. Garity, Dušan D. Repovš, David G. Wright
Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to and whose intersection is again homeomorphic to $\mathbb R^…
New Techniques for Computing Geometric Index
Kathryn B. Andrist, Dennis J. Garity, Dušan D. Repovš +1
We introduce \textcolor{red}{general} new techniques for computing the geometric index of a link in the interior of a solid torus . These techniques simplify and unify previ…
Simply connected open 3-manifolds with rigid genus one ends
Dennis Garity, Dušan Repovš, David Wright
We construct uncountably many simply connected open 3-manifolds with genus one ends homeomorphic to the Cantor set. Each constructed manifold has the property that any self homeomo…
The Homogeneous Property of the Hilbert Cube
Denise M. Halverson, David G. Wright
We demonstrate the homogeneity of the Hilbert Cube. In particular, we construct explicit self-homeomorphisms of the Hilbert cube so that given any two points, a homeomorphism movin…
Distinguishing Bing-Whitehead Cantor Sets
Dennis Garity, Dušan Repovš, David Wright +1
Bing-Whitehead Cantor sets were introduced by DeGryse and Osborne in dimension three and greater to produce examples of Cantor sets that were non standard (wild), but still had sim…