Ein eindimensionales Kompaktum in , das sich nicht lagetreu in die Mengersche Universalkurve einbetten läβt
Eine Verallgemeinerung Topologischer Mannigfaltigkeiten.
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 Cantor sets in a manifold. III. Approximating spheres
Embedding homology equvalent 3-manifolds in 4-space.
Embedding punctured lens spaces in four-manifolds.
Embedding Semi-Algebraic Spaces.
Embedding solenoids
A generalized solenoid is an inverse limit space with bonding maps that are (regular) covering maps of closed compact manifolds. We study the embedding properties of solenoids in linear space and in foliations.
Equivariant embeddings of finite abelian group actions in euclidean space
Errata to the paper "Equivariant embeddings of finite abelian group action in euclidean space" Fundamenta Mathematicae 110 (1980), pp. 25-33
Exponential separation in 4-manifolds.
Extending Maps in Hilbert Manifolds
Certain results on extending maps taking values in Hilbert manifolds by maps which are close to being embeddings are presented. Sufficient conditions on a map under which it is extendable by an embedding are given. In particular, it is shown that if X is a completely metrizable space of topological weight not greater than α ≥ ℵ₀, A is a closed set in X and f: X → M is a map into a manifold M modelled on a Hilbert space of dimension α such that , then for every open cover of M there is a map g:...
Extension des immersions en codimension 1
Faisceaux principaux et plongements
Geometrical arguments concerning two-sided submanifolds, flat submanifolds and pinched bicollars
Hénon mappings in the complex domain I : the global topology of dynamical space
Higher order intersection numbers of 2-spheres in 4-manifolds.
Homotopy characterization of weakly flat knots
Isometric Embeddings of Pro-Euclidean Spaces
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra. He also shows that either case implies that X has covering dimension at most n. The purpose of this paper is to extend these results to include both embeddings and spaces which are proper instead of compact. The main result of this paper is that any pro-Euclidean space of rank...
Locally flat 2-spheres in simply connected 4-manifolds.