Erratum
Erratum to 'Rational Lie Algebras and p-Isomorphisms of Nilpotent Groups and Homotopy Types'
Étude des -structures de codimension 1 sur la sphère
Cet article contient une démonstration géométrique simple de pour .Ce résultat (démontré aussi par Mather comme corollaire d’un théorème beaucoup plus général) apparaît comme une conséquence du théorème de Michael Herman : .L’appendice contient une étude des structures sur les surfaces et un résultat sur la cohomologie de .
Exact sequence interlocking and free homotopy theory
Ex-homotopy theory
Exploring W.G. Dwyer's tame homotopy theory.
Let Sr be the category of r-reduced simplicial sets, r ≥ 3; let Lr-1 be the category of (r-1)-reduced differential graded Lie algebras over Z. According to the fundamental work [3] of W.G. Dwyer both categories are endowed with closed model category structures such that the associated tame homotopy category of Sr is equivalent to the associated homotopy category of Lr-1. Here we embark on a study of this equivalence and its implications. In particular, we show how to compute homology, cohomology,...
Exponential law for uniformly continous proper maps.
The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
Extensions of maps from suspensions of finite projective spaces.
Familles à un paramètre de pseudo-isotopies de plongements en codimension deux
Fibrations in etale homotopy theory
Finite subset spaces of .
Formes Différentielles de Degré 1 Fermées Non Singulières: Classes d'Homotopie de leurs Noyaux
Framing Sphere Bundles over Spheres, the Smith Pairing, and Three-Fold Toda Brackets.
Free and non-free subgroups of the fundamental group of the Hawaiian Earrings
The space which is composed by embedding countably many circles in such a way into the plane that their radii are given by a null-sequence and that they all have a common tangent point is called “The Hawaiian Earrings”. The fundamental group of this space is known to be a subgroup of the inverse limit of the finitely generated free groups, and it is known to be not free. Within the recent move of trying to get hands on the algebraic invariants of non-tame (e.g. non-triangulable) spaces this space...
Freudenthal-Invariante.
Fundamental groups of one-dimensional spaces
Let X be a metrizable one-dimensional continuum. We describe the fundamental group of X as a subgroup of its Čech homotopy group. In particular, the elements of the Čech homotopy group are represented by sequences of words. Among these sequences the elements of the fundamental group are characterized by a simple stabilization condition. This description of the fundamental group is used to give a new algebro-combinatorial proof of a result due to Eda on continuity properties of homomorphisms from...
Fundamental pro-groupoids and covering projections
We introduce a new notion of covering projection E → X of a topological space X which reduces to the usual notion if X is locally connected. We use locally constant presheaves and covering reduced sieves to find a pro-groupoid π crs (X) and an induced category pro (π crs (X), Sets) such that for any topological space X the category of covering projections and transformations of X is equivalent to the category pro (π crs (X), Sets). We also prove that the latter category is equivalent to pro (π CX,...
Generalised Swan modules and the D(2) problem.
Generalized classes of groups, C-nilpotent spaces and "The Hurewicz theorem".
Generalized Flag Manifolds As Framed Boundaries.