Einbettungen Steinscher Mannigfaltigkeiten.
Elementary moves for higher dimensional knots
For smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in (or ), we generalize the notion of knot moves to higher dimensions. This reproves and generalizes the Reidemeister moves of classical knot theory. We show that for any dimension there is a finite set of elementary isotopies, called moves, so that any isotopy is equivalent to a finite sequence of these moves.
Embedded surfaces in the 3-torus
Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.
Embedding, compression and fiberwise homotopy theory.
Embedding of Hilbert manifolds with smooth boundary into semispaces of Hilbert spaces
In this paper we prove the existence of a closed neat embedding of a Hausdorff paracompact Hilbert manifold with smooth boundary into , where is a Hilbert space, such that the normal space in each point of a certain neighbourhood of the boundary is contained in . Then, we give a neccesary and sufficient condition that a Hausdorff paracompact topological space could admit a differentiable structure of class with smooth boundary.
Embedding punctured lens spaces in four-manifolds.
Embeddings from the point of view of immersion theory. I.
Embeddings from the point of view of immersion theory. II.
Embeddings of 2-spheres in 4-manifolds.
Erratum: "Embeddings of 2-spheres in 4-manifolds".
Étude homotopique des espaces de plongements
Examples of Expanding Endomorphisms on Exotic Tori.
Extensions through codimension one to sense preserving mappings
The archetype for the questions considered is: “Which plane oriented curves in the plane are representable as the images of the boundary of a disk under holomorphic function?” This question is equivalent to: “Which immersion of the circle in the plane are extendable to smooth sense preserving (= non-negative jacobian) mappings of the closed disk with the jacobian positive on the boundary?”The second question is generalized in terms of the genus and dimension of the source and target. An exposition...