A set of axioms for the degree of a tangent vector field on differentiable manifolds.
An Application of -K-Theory to the Global Analysis of Matrix Valued Functions.
C... maps may increase C...-Dimension.
Convenient vector spaces embed into the Cahiers topos
Corrigendum and addenda to the paper “Convenient vector spaces embed...”
Diffeotopically Trivial Periodic Diffeomorphisms.
Distributions I. Lagrangiennes
Erratum to “Convenient vector spaces embed into the Cahiers topos”
Evolution of Eresmann's jet theory
From Poisson algebras to Gerstenhaber algebras
Constructing an even Poisson algebra from a Gerstenhaber algebra by means of an odd derivation of square 0 is shown to be possible in the category of Loday algebras (algebras with a non-skew-symmetric bracket, generalizing the Lie algebras, heretofore called Leibniz algebras in the literature). Such “derived brackets” give rise to Lie brackets on certain quotient spaces, and also on certain Abelian subalgebras. The construction of these derived brackets explains the origin of the Lie bracket on...
Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen
Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields
H¹ and BMO for certain locally doubling metric measure spaces of finite measure
In a previous paper the authors developed an H¹-BMO theory for unbounded metric measure spaces (M,ρ,μ) of infinite measure that are locally doubling and satisfy two geometric properties, called “approximate midpoint” property and “isoperimetric” property. In this paper we develop a similar theory for spaces of finite measure. We prove that all the results that hold in the infinite measure case have their counterparts in the finite measure case. Finally, we show that the theory applies to a class...
Homomorphism between Homotopy groups induced by elements of the sobolev space L1, p (M, N).
Ideas of Hugo Steinhaus in contemporary mathematics
Lie derivatives and natural operators
Local expansions, derivatives, and fixed points
Natural Lagrangian structures
On a class of variational problems defined by polynomial Lagrangians
On topological degree and Poincaré duality
In this Note we investigate about some relations between Poincaré dual and other topological objects, such as intersection index, topological degree, and Maslov index of Lagrangian submanifolds. A simple proof of the Poincaré-Hopf theorem is recalled. The Lagrangian submanifolds are the geometrical, multi-valued, solutions of physical problems of evolution governed by Hamilton-Jacobi equations: the computation of the algebraic number of the branches is showed to be performed by using Poincaré dual....