4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.
A LIP Immersion of Lipschitz Manifolds Modelled on Some Banach Spaces
A note on closed -cells in
A set of moves for Johansson representation of 3-manifolds
A Dehn sphere Σ in a closed 3-manifold M is a 2-sphere immersed in M with only double curve and triple point singularities. The Dehn sphere Σ fills M if it defines a cell decomposition of M. The inverse image in S² of the double curves of Σ is the Johansson diagram of Σ and if Σ fills M it is possible to reconstruct M from the diagram. A Johansson representation of M is the Johansson diagram of a filling Dehn sphere of M. Montesinos proved that every closed 3-manifold has a Johansson representation...
A wild Cantor set in with simply connected complement
A wildly embedded 1-dimensional compact set in each of whose components is tame
About a problem of Ulam concerning flat sections of manifolds.
An annulus theorem for suspension spheres
Approximating continous maps of metric spaces into manifolds by embeddings.
Approximation L2-invariants by Their Finite-Dimensional Analogues.
Arcs in the Hilbert cube whose complements have different fundamental groups
Chapman's Classification of Shapes. A Proof Using Collapsing.
Characterization of knot complements in the n-sphere
Knot complements in the n-sphere are characterized. A connected open subset W of is homeomorphic with the complement of a locally flat (n-2)-sphere in , n ≥ 4, if and only if the first homology group of W is infinite cyclic, W has one end, and the homotopy groups of the end of W are isomorphic to those of in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.
Combinatoire des simplexes sans singularités I. Le cas différentiable
On définit le bicomplexe , extension naturelle du complexe engendré par un ensemble simplicial . Ceci permet de définir la notion de ruban de base un cycle de . La somme directe de l’homologie des colonnes de contient, outre l’homologie de , des groupes dans lesquels se trouvent les obstructions à l’existence de rubans. Si est un sous-ensemble simplicial, stable par subdivision, de l’ensemble des simplexes singuliers d’un espace topologique, l’existence de rubans entraîne l’invariance...
Compacta with the shape finite complexes
Computing immersed normal surfaces in the figure-eight knot complement.
Correction to "Locally flat 2-spheres in simply connected 4-manifolds".
Decomposition theorems in differential geometry.
Deformation of Homeomorphismus on Stratified Sets
Deloopings of the spaces of long embeddings
The homotopy fiber of the inclusion from the long embedding space to the long immersion space is known to be an iterated based loop space (if the codimension is greater than two). In this paper we deloop the homotopy fiber to obtain the topological Stiefel manifold, combining results of Lashof and of Lees. We also give a delooping of the long embedding space, which can be regarded as a version of Morlet-Burghelea-Lashof's delooping of the diffeomorphism group of the disk relative to the boundary....