Generalized paths and pointed 1-movability
Generalized symmetric spaces and minimal models
We prove that any compact simply connected manifold carrying a structure of Riemannian 3- or 4-symmetric space is formal in the sense of Sullivan. This result generalizes Sullivan's classical theorem on the formality of symmetric spaces, but the proof is of a different nature, since for generalized symmetric spaces techniques based on the Hodge theory do not work. We use the Thomas theory of minimal models of fibrations and the classification of 3- and 4-symmetric spaces.
Generic morphisms, parametric representations and weakly cartesian monads.
Genus and symmetry in homotopy theory.
Genus sets and SNT sets of certain connective covering spaces
We study the genus and SNT sets of connective covering spaces of familiar finite CW-complexes, both of rationally elliptic type (e.g. quaternionic projective spaces) and of rationally hyperbolic type (e.g. one-point union of a pair of spheres). In connection with the latter situation, we are led to an independently interesting question in group theory: if f is a homomorphism from Gl(ν,A) to Gl(n,A), ν < n, A = ℤ, resp. , does the image of f have infinite, resp. uncountably infinite, index in...
Gerbes and homotopy quantum field theories.
Gorenstein rings with transcendental Poincaré-series.
Graded Lie Algebras of depth one.
Graded Lie algebras with finite polydepth
Group extensions and automorphism group rings.
Group Extensions and Principal Fibrations.
Groupe des difféomorphismes et espace de Teichmüller d'une surface
Groupoid Operations and Fibre-Homotopy Equivalence. I.
Groups with cyclic Sylow subgroups and finiteness conditions for certain complexes.
Growth and Lie brackets in the homotopy Lie algebra.
Gruppen von Homotopieklassen von Abbildungen in Produkte von Eilenberg-Maclane-Räumen.
Gruppi di autoequivalenze omotopiche
-space structure on pointed mapping spaces.
h-Cobordismes entre variétés homéomorphes.
Heaps and unpointed stable homotopy theory
In this paper, we show how certain “stability phenomena” in unpointed model categories provide the sets of homotopy classes with a canonical structure of an abelian heap, i.e. an abelian group without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty.