Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.
We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.
Levelling an unknotting tunnel.
Levi-Flat submanifolds and holomorphic extension of foliations
L-groups of crystallographic groups.
Lie algebras of vector fields and codimension one foliations.
The main result is a Pursell-Shanks type theorem for codimension one foliations. This theorem can be viewed as a partial solution of a hypothetical general version of the theorem of Pursell-Shanks. Several propositions and lemmas on foliations are contained in the proof.
Lie brackets and real analyticity in control theory
Lie group structures on groups of diffeomorphisms and applications to CR manifolds
We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
Lie groups and -compact groups.
Lie ideals and Jordan triple derivations in rings
Lie theory and the Chern–Weil homomorphism
Lifting of homeomorphisms to branched coverings of a disk
We consider a simple, possibly disconnected, d-sheeted branched covering π of a closed 2-dimensional disk D by a surface X. The isotopy classes of homeomorphisms of D which are pointwise fixed on the boundary of D and permute the branch values, form the braid group Bₙ, where n is the number of branch values. Some of these homeomorphisms can be lifted to homeomorphisms of X which fix pointwise the fiber over the base point. They form a subgroup of finite index in Bₙ. For each equivalence class...
Lifting smooth homotopies of orbit spaces
Lifting smooth homotopies of orbit spaces of proper Lie group actions.
Liftings of covariant -tensor fields to the bundle of -dimensional -velocities
Liftings of functions and vector fields to natural bundles [Book]
Light paths with an odd number of vertices in polyhedral maps
Let be a path on vertices. In an earlier paper we have proved that each polyhedral map on any compact -manifold with Euler characteristic contains a path such that each vertex of this path has, in , degree . Moreover, this bound is attained for or , even. In this paper we prove that for each odd , this bound is the best possible on infinitely many compact -manifolds, but on infinitely many other compact -manifolds the upper bound can be lowered to .
L'image d'un groupe dans un groupe hyperbolique.
Limit groups and groups acting freely on -trees.
Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
Limit sets of free convergence groups.