A Spectral Sequence Concerning the Double Suspension.
Algebraic homotopy classes of rational functions
Let be a field. We compute the set ofnaivehomotopy classes of pointed -scheme endomorphisms of the projective line . Our result compares well with Morel’s computation in [11] of thegroup of -homotopy classes of pointed endomorphisms of : the set admits an a priori monoid structure such that the canonical map is a group completion.
Coincidence free pairs of maps
This paper centers around two basic problems of topological coincidence theory. First, try to measure (with the help of Nielsen and minimum numbers) how far a given pair of maps is from being loose, i.e. from being homotopic to a pair of coincidence free maps. Secondly, describe the set of loose pairs of homotopy classes. We give a brief (and necessarily very incomplete) survey of some old and new advances concerning the first problem. Then we attack the second problem mainly in the setting of homotopy...
Complex 2 Plane Bundles over CP(n).
Dehnungsuntersuchungen an Sphärenabbildungen.
Detecting Stable Homotopy Classes by Primary BP Cohomology Operations.
Freudenthal-Invariante.
Geometric interpretations of the generalized Hopf invariant.
Geometry of normed bilinear maps and the 16-square problem.
La décomposition des espaces des lacets et la torsion impaire des groupes d'homotopie
On link maps and their homotopy classification.
On links with one codimension two compontent.
Representation types and 2-primary homotopy groups of certain compact Lie groups.
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.
The dilatation invariant in the homotopy of spheres.
The homotopy groups of the L2-localized Mahowald spectrum.
...-torsion bounds in the unstable Ext groups Extu*,* (...Z2, Z2) over the Steenrod algebra.
Toward a global understanding of .
v1-Periodicity in the Unstable Adams Spectral Sequence.
Некоторые вычисления в теории многомерных зацеплений