Ends of Maps, II.
Enlacements d'intervalles et représentation de Gassner.
Enlacements d’intervalles et torsion de Whitehead
Soit un enlacement de intervalles dans d’extérieur et soit . On utilise la propriété de la paire d’être -acyclique pour certaines représentation de l’anneau du groupe fondamental de dans un anneau pour construire des invariants de torsion à valeurs dans le groupe . Un cas particulier est le polynôme d’Alexander en variables quand est l’anneau des fractions rationnelles avec et est simplement l’abélianisation.
Enquivariant Surgery on Incompressible Tori and Klein Bottles in 3-Manifolds with Respect to Involutions.
Entropic Hopf algebras and models of non-commutative logic.
Enumerative geometry of degeneracy loci
Equilateral triangles and continuous curves
Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants
Equivalence classes of colorings
For any link and for any modulus m we introduce an equivalence relation on the set of non-trivial m-colorings of the link (an m-coloring has values in Z/mZ). Given a diagram of the link, the equivalence class of a non-trivial m-coloring is formed by each assignment of colors to the arcs of the diagram that is obtained from the former coloring by a permutation of the colors in the arcs which preserves the coloring condition at each crossing. This requirement implies topological invariance of the...
Equivalence classes of Fields of 2-planes and two kinds of almost complex structures on compact four-dimensional manifolds.
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeomorphism to a linear system on a Lie group or a homogeneous space if and only if the vector fields of the system are complete and generate a finite dimensional Lie algebra. A vector field on a connected Lie group is linear if its flow is a one parameter group of automorphisms. An affine vector field is obtained by adding a left invariant one. Its projection on a homogeneous space, whenever it exists,...
Equivalence of differentiable mappings and analytic mappings
Equivalence of generic mappings and normalization
Equivalence of geometric and combinatorial Dehn functions.
Equivalence of Lagrangian germs in the presence of a surface
Equivalences to the triangulation conjecture.
Equivariant Alexander-Spanier cohomology for actions of compact Lie groups.
Equivariant algebraic topology
Let be a topological group. We give the existence of an equivariant homology and cohomology theory, defined on the category of all -pairs and -maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients.In the case that is a compact Lie group we also define equivariant -complexes and mention some of their basic properties.The paper is a short abstract and contains no proofs.
Equivariant approximate fibrations.
Equivariant classification of 2-torus manifolds
We consider locally standard 2-torus manifolds, which are a generalization of small covers of Davis and Januszkiewicz and study their equivariant classification. We formulate a necessary and sufficient condition for two locally standard 2-torus manifolds over the same orbit space to be equivariantly homeomorphic. This leads us to count the equivariant homeomorphism classes of locally standard 2-torus manifolds with the same orbit space.