8 citations · 27 across the 9 of their papers we have counts for
9 papers
Free groups as end homogeneity groups of -manifolds
Dennis J. Garity, Dušan D. Repovš
For every finitely generated free group , we construct an irreducible open -manifold whose end set is homeomorphic to a Cantor set, and with the end homogeneity group o…
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 3-Manifolds with a Dense Set of Ends of Specified Genus
Dennis J. Garity, Dušan D. Repovš
We show that for every sequence , where each is either an integer greater than 1 or is , there exists a simply connected open 3-manifold with a countable d…
A new class of homology and cohomology 3-manifolds
D. J. Garity, U. H. Karimov, D. D. Repovš +1
We show that for any set of primes there exists a space which is a homology and cohomology 3-manifold with coefficients in for $p\i…
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…