Einstein manifolds, volume rigidity and Seiberg-Witten theory
Einstein metrics and smooth structures.
Einstein metrics on exotic spheres in dimensions 7, 11 and 15.
El teorema de Novikov
El teorema del punto fijo sin homología: un enfoque combinatorio.
Elder siblings and the taming of hyperbolic 3-manifolds.
Elementary arcs in 3-space that can be realized by squeezing 3-ceIls
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.
Elements of finite order in the fundamental group of a branched cyclic covering.
Elliptic genera, modular forms over KO*, and the Brown-Kervaire invariant.
Elliptic operators and higher signatures
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Elliptic spaces with the rational homotopy type of spheres.
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, compression and fiberwise homotopy theory.
Embedding Finite Covering Spaces into Trivial Bundles.
Embedding homology equvalent 3-manifolds in 4-space.
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 products of graphs into Euclidean spaces
For any collection of graphs we find the minimal dimension d such that the product is embeddable into (see Theorem 1 below). In particular, we prove that (K₅)ⁿ and are not embeddable into , where K₅ and are the Kuratowski graphs. This is a solution of a problem of Menger from 1929. The idea of the proof is a reduction to a problem from so-called Ramsey link theory: we show that any embedding , where O is a vertex of (K₅)ⁿ, has a pair of linked (n-1)-spheres.
Embedding proper homotopy types
We show that the proper homotopy type of any properly c-connected locally finite n-dimensional CW-complex is represented by a closed polyhedron in (Theorem I). The case n - c ≥ 3 is a special case of a general proper homotopy embedding theorem (Theorem II). For n - c ≤ 2 we need some basic properties of “proper” algebraic topology which are summarized in Appendices A and B. The results of this paper are the proper analogues of classical results by Stallings [17] and Wall [20] for finite CW-complexes;...