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Št. zadetkov: 5
Simply connected 3-manifolds with a dense set of ends of specified genus
Dennis Garity, Dušan Repovš
Izvirni znanstveni članek
Oznake: 3-manifold set;wild Cantor set;local genus;defining sequence;exhaustion;end;
We show that for every sequence ▫$(n_i)$▫, where each ▫$n_i$▫ is either an integer greater than 1 or is ▫$\infty$▫, there exists a simply connected open 3-manifold ▫$M$▫ with a countable dense set of ends ▫$\{e_i\}$▫ so that, for every ▫$i$▫, the genus of end ▫$e_i$▫ is equal to ▫$n_i$▫. In addition ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Free groups as end homogeneity groups of 3-manifolds
Dennis Garity, Dušan Repovš
Izvirni znanstveni članek
Oznake: open 3-manifold;rigidity;manifold end;geometric index;Cantor set;homogeneity group;abelian group;defining sequence;
For every finitely generated free group ▫$F$▫, we construct an irreducible open 3-manifold ▫$M_F$▫ whose end set is homeomorphic to a Cantor set, and with the end homogeneity group of ▫$M_F$▫ isomorphic to ▫$F$▫. The end homogeneity group is the group of all self-homeomorphisms of the end set that e ...
Leto: 2022 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Contractible 3-manifolds and the double 3-space property
Dennis Garity, Dušan Repovš, David Wright
Izvirni znanstveni članek
Oznake: contractible 3-manifold;open 3-manifold;Whitehead Link;defining sequence;geometric index;McMillan contractible 3-manifold;Gabai Link;
Gabai showed that the Whitehead manifold is the union of two submanifolds each of which is homeomorphic to ▫$\mathbb{R}^3$▫ and whose intersection is again homeomorphic to ▫$\mathbb{R}^3$▫. Using a family of generalizations of the Whitehead Link, we show that there are uncountably many contractible ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
New techniques for computing geometric index
Kathryn B. Andrist, Dennis Garity, Dušan Repovš, David Wright
Izvirni znanstveni članek
Oznake: algebraic index;geometric index;Whitehead link;Bing link;McMillan link;Gabai link;Antoine link;
We introduce new general techniques for computing the geometric index of a link ▫$L$▫ in the interior of a solid torus ▫$T$▫. These techniques simplify and unify previous ad hoc methods used to compute the geometric index in specific examples and allow a simple computation of geometric index for new ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
ǂA ǂnew class of homology and cohomology 3-manifolds
Dennis Garity, Umed H. Karimov, Dušan Repovš, Fulvia Spaggiari
Izvirni znanstveni članek
Oznake: cohomology 3-manifold;cohomological dimension;Borel-Moore homology;Čech cohomology;Milnor-Harlap exact sequence;lens space;ANR;
We show that for any set of primes ▫$\mathcal{P}$▫ there exists a space ▫$M_\mathcal{P}$▫ which is a homology and cohomology 3-manifold with coefficients in ▫$\mathbb{Z}_p$▫ for ▫$p \in \mathcal{P}$▫ and is not a homology or cohomology 3-manifold with coefficients in ▫$\mathbb{Z}_q$▫ for ▫$q \notin ...
Leto: 2016 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 5
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