Add to ORKGIn Chapter I we study the equivalence of boundary incompressibility and homotopy boundary incompressibility of proper surfaces in a three-manifold. In Chapter II we study Heeraard solittinos of an irreducible three-manifold and additivity of Hepgaard genus. In Chapter III we characterize a Heeraard diagram by a family of loops not necessarily simple or disjoint
AbstractA Heegaard diagram for a 3-manifold is regarded as a pair of simplexes in the complex of cur...
In 2009, David Bachman introduced the notions of topologically minimal surfaces and topological inde...
Let $M$ be an orientable, irreducible $3$-manifold and $(\mathcal{V},\mathcal{W};F)$ a weakly reduci...
AbstractIf a Heegaard splitting of a nonsufficiently large 3-manifold has the property that there ex...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
AbstractIn [Topology Appl. 90 (1998) 135] Scharleman showed that a strongly irreducible Heegaard spl...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
The purpose of this paper is to relate several generalizations of the notion of the Heegaard splitt...
This thesis investigates the intersection between knot theory and the theory of 3-manifolds. 3-manif...
AbstractNecessary and sufficient conditions are given for a compact, properly embedded 1-manifold J ...
AbstractWe prove that after Dehn filling an incompressible torus in the boundary of an a-cylindrical...
AbstractLet M be an orientable compact irreducible and ∂-irreducible 3-manifold, and suppose ∂M cons...
Abstract. Let M be a compact orientable irreducible 3-manifold and H be an unstabilized genus three ...
Abstract. In a recent paper we used Cerf theory to compare strongly irre-ducible Heegaard splittings...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
AbstractA Heegaard diagram for a 3-manifold is regarded as a pair of simplexes in the complex of cur...
In 2009, David Bachman introduced the notions of topologically minimal surfaces and topological inde...
Let $M$ be an orientable, irreducible $3$-manifold and $(\mathcal{V},\mathcal{W};F)$ a weakly reduci...
AbstractIf a Heegaard splitting of a nonsufficiently large 3-manifold has the property that there ex...
AbstractLet M be a compact orientable irreducible 3-manifold, F be an essential non-separating close...
AbstractIn [Topology Appl. 90 (1998) 135] Scharleman showed that a strongly irreducible Heegaard spl...
We describe probably the simplest 3-manifold which contains closed separating incompressible surface...
The purpose of this paper is to relate several generalizations of the notion of the Heegaard splitt...
This thesis investigates the intersection between knot theory and the theory of 3-manifolds. 3-manif...
AbstractNecessary and sufficient conditions are given for a compact, properly embedded 1-manifold J ...
AbstractWe prove that after Dehn filling an incompressible torus in the boundary of an a-cylindrical...
AbstractLet M be an orientable compact irreducible and ∂-irreducible 3-manifold, and suppose ∂M cons...
Abstract. Let M be a compact orientable irreducible 3-manifold and H be an unstabilized genus three ...
Abstract. In a recent paper we used Cerf theory to compare strongly irre-ducible Heegaard splittings...
Abstract. Kevin Hartshorn showed that if a three-dimensional manifold M admits a Heegaard surface Σ ...
AbstractA Heegaard diagram for a 3-manifold is regarded as a pair of simplexes in the complex of cur...
In 2009, David Bachman introduced the notions of topologically minimal surfaces and topological inde...
Let $M$ be an orientable, irreducible $3$-manifold and $(\mathcal{V},\mathcal{W};F)$ a weakly reduci...
