Low dimensional homotopy groups of suspensions of the Hawaiian earring
We study the (n+1)st homotopy groups and the shape groups of the (n-1)-fold reduced and unreduced suspensions of the Hawaiian earring.
L-theory and dihedral homology.
Mappings Into Loop Spaces and Central Group Extensions.
Mappings onto circle-like continua
Maps between Classifying Spaces.
Maps Between Classifying Spaces. II.
Maps Between Real Classifying Spaces.
Maximal equicontinuous factors and cohomology for tiling spaces
We study the homomorphism induced on cohomology by the maximal equicontinuous factor map of a tiling space. We will see that in degree one this map is injective and has torsion free cokernel. We show by example, however, that, in degree one, the cohomology of the maximal equicontinuous factor may not be a direct summand of the tiling cohomology.
Mayer-Vietoriss Sequences for HNN-Groups and Homological Duality.
Méthodes homologiques dans la théorie des applications et des champs de vecteurs sphériques dans les espaces de Banach [Book]
Modules de -bordisme. Couples exacts cohérents
Modules de -bordisme. -résolutions de complexes finis
Modules de SU-bordisme. Applications
Morava K-theory of Double Loop Spaces of Spheres.
Motivic Landweber exactness.
Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology
A family of multiplicative operations in the BP Steenrod algebra is defined which is related to the total Steenrod power operation from the mod p Steenrod algebra. The main result of the paper links the BP versions of the total Steenrod power with the formal group approach to multiplicative BP operations by identifying the p-typical curves (power series) which correspond to these operations. Some relations are derived from this identification, and a short proof of the Hopf invariant one theorem...
Natural factorizations and the Kan extension of cohomology theories
Nilpotency of self homotopy equivalences with coefficients
In this paper we study the nilpotency of certain groups of self homotopy equivalences. Our main goal is to extend, to localized homotopy groups and/or homotopy groups with coefficients, the general principle of Dror and Zabrodsky by which a group of self homotopy equivalences of a finite complex which acts nilpotently on the homotopy groups is itself nilpotent.
Non-connective Delooping of K-Theory of an A... Ring Space.
Nonresonance conditions for arrangements
We prove a vanishing theorem for the cohomology of the complement of a complex hyperplane arrangement with coefficients in a complex local system. This result is compared with other vanishing theorems, and used to study Milnor fibers of line arrangements, and hypersurface arrangements.