D. Garity

activity

20082022

most citedDistinguishing Bing-Whitehead Cantor Sets

8 citations · 27 across the 9 of their papers we have counts for

collaborators

Showing 2013 · math.GTShow all

2 papers · 2 filters

math.GT2013★ 4 cited

Inequivalent Cantor Sets in $R^{3}$ Whose Complements Have the Same Fundamental Group

Dennis J. Garity, Dušan Repovš

For each Cantor set C in $R^{3}$ , all points of which have bounded local genus, we show that there are infinitely many inequivalent Cantor sets in $R^{3}$ with complement having th…

math.GT2013★ 1 cited

Homogeneity Groups of Ends of 3-manifolds

Dennis J. Garity, Dušan Repovš

For every finitely generated abelian group G, we construct an irreducible open 3-manifold $M_{G}$ whose end set is homeomorphic to a Cantor set and with end homogeneity group of $M…

Inequivalent Cantor Sets in R3 Whose Complements Have the Same Fundamental Group

Homogeneity Groups of Ends of 3-manifolds

Inequivalent Cantor Sets in $R^{3}$ Whose Complements Have the Same Fundamental Group