Add to ORKGAfter surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give three proofs using minimal background. In particular, our proofs do not rely on spin structures, the theory of Stiefel-Whitney classes, nor the Lickorish-Wallace theorem
AbstractWe prove that there is an algorithm which determines whether or not a given 2-polyhedron can...
. We describe theoretical backgrounds for a computer program that recognizes all closed orientable 3...
Although \pi_1^\inftyV^3 is an obstruction for killing stably the 1-handles of an open simply connec...
After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give ...
We give a new elementary proof of the parallelizability of closed orientable 3-manifolds. We use as ...
AbstractIt is conjectured that any compact 3-orbifold containing no bad 2-suborbifolds is built from...
The triangulation complexity of a closed orientable 3-manifold is the minimal number of tetrahedra i...
The understanding and classification of (compact) 3-dimensional manifolds (without boundary) is with...
AbstractNecessary and sufficient conditions are given for a compact, properly embedded 1-manifold J ...
We study the realization problem which asks if a given oriented link in an open 3-manifold can be re...
A 3-manifold is totally peripheral if every loop is freely homotopic into the boundary. It is shown ...
AbstractWe generalize to the category of orbifolds (topological spaces locally modelled on Euclidean...
We generalize to the category of orbifolds (topological spaces locally modelled on Euclidean space m...
AbstractA theorem is proved giving a necessary condition for a standard spine of a prime homology 3-...
AbstractOne can embed arbitrarily many disjoint, non-parallel, non-boundary parallel, incompressible...
AbstractWe prove that there is an algorithm which determines whether or not a given 2-polyhedron can...
. We describe theoretical backgrounds for a computer program that recognizes all closed orientable 3...
Although \pi_1^\inftyV^3 is an obstruction for killing stably the 1-handles of an open simply connec...
After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give ...
We give a new elementary proof of the parallelizability of closed orientable 3-manifolds. We use as ...
AbstractIt is conjectured that any compact 3-orbifold containing no bad 2-suborbifolds is built from...
The triangulation complexity of a closed orientable 3-manifold is the minimal number of tetrahedra i...
The understanding and classification of (compact) 3-dimensional manifolds (without boundary) is with...
AbstractNecessary and sufficient conditions are given for a compact, properly embedded 1-manifold J ...
We study the realization problem which asks if a given oriented link in an open 3-manifold can be re...
A 3-manifold is totally peripheral if every loop is freely homotopic into the boundary. It is shown ...
AbstractWe generalize to the category of orbifolds (topological spaces locally modelled on Euclidean...
We generalize to the category of orbifolds (topological spaces locally modelled on Euclidean space m...
AbstractA theorem is proved giving a necessary condition for a standard spine of a prime homology 3-...
AbstractOne can embed arbitrarily many disjoint, non-parallel, non-boundary parallel, incompressible...
AbstractWe prove that there is an algorithm which determines whether or not a given 2-polyhedron can...
. We describe theoretical backgrounds for a computer program that recognizes all closed orientable 3...
Although \pi_1^\inftyV^3 is an obstruction for killing stably the 1-handles of an open simply connec...