Some elementary applications of topological degree.
Some examples of nonsingular Morse-Smale vector fields on
One wonders or not whether it is possible to determine the homotopy class of a vector field by examining some algebraic invariants associated with its qualitative behavior. In this paper, we investigate the algebraic invariants which are usually associated with the periodic solutions of non-singular Morse-Smale vector fields on the 3-sphere. We exhibit some examples for which there appears to be no correlation between the algebraic invariants of the periodic solutions and the homotopy classes of...
Some examples of nontrivial homotopy groups of modules.
Some extension and classification theorems for maps of movable spaces
Some formulas for conjugation.
Some generalizations of a theorem of Dold.
Some geometric perspectives in concurrency theory.
Some homotopy theoretical questions arising in Nielsen coincidence theory
Basic examples show that coincidence theory is intimately related to central subjects of differential topology and homotopy theory such as Kervaire invariants and divisibility properties of Whitehead products and of Hopf invariants. We recall some recent results and ask a few questions which seem to be important for a more comprehensive understanding.
Some infinte families of U-hypersurfaces.
Some lagrangian invariants of symplectic manifolds
The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by (resp. ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to . That is to say, there is a bilinear map , which is invariant under F-preserving symplectic diffeomorphisms....
Some new results on composition of quadratic forms.
Some Non-Linear Equivariant Sphere Bundles
Some non-trivial PL knots whose complements are homotopy circles
We show that there exist non-trivial piecewise linear (PL) knots with isolated singularities , n ≥ 5, whose complements have the homotopy type of a circle. This is in contrast to the case of smooth, PL locally flat, and topological locally flat knots, for which it is known that if the complement has the homotopy type of a circle, then the knot is trivial.
Some partial formulae for Stiefel-Whitney classes of Grassmannians
Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.
Some Pontrjagin Rings. II.
Some Properties of a Cohomology Group Associated to a Totally Geodesic Foliation.
Some properties of fundamental dimension
Some Properties of the b-Product.
Some quantitative properties of shapes