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Browsing Department of Mathematics by Author "Garity, Dennis J."

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Browsing Department of Mathematics by Author "Garity, Dennis J."

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  • Garity, Dennis J.; Repovš, Dušan (Mathematical Sciences Publishers, 2014-07-15)
    For every finitely generated abelian group G, we construct an irreducible open 3-manifold M[subscript G] whose end set is homeomorphic to a Cantor set and whose homogeneity group is isomorphic to G. The end homogeneity ...
  • Garity, Dennis J.; Repovs, Dusan (American Mathematical Society, 2013-08)
    For each Cantor set C in R³, all points of which have bounded local genus, we show that there are infinitely many inequivalent Cantor sets in R³ with the complement having the same fundamental group as the complement ...

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