The multi-morphisms and their properties and applications
In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented.
The multiplicative structure of K(n)* (BA4).
Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA4) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA4;Z/2) are also discussed.
The Mumford conjecture
The Mumford Conjecture asserts that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra on the Mumford-Morita-Miller characteristic classes; this can be reformulated in terms of the classifying space derived from the mapping class groups. The conjecture admits a topological generalization, inspired by Tillmann’s theorem that admits an infinite loop space structure after applying Quillen’s plus construction. The text presents the proof by Madsen and...
The Nielsen coincidence theory on topological manifolds
We generalize the coincidence semi-index introduced in [D-J] to pairs of maps between topological manifolds. This permits extending the Nielsen theory to this class of maps.
The Nielsen product formula for coincidences
The nilpotence and periodicity theorems in stable homotopy theory
The Nilpotent Model for a Function Space
The non-criticality of certain families of affine varieties.
The normalizer of the Weyl group.
The normalizer splitting conjecture for p-compact groups
Let X be a p-compact group, with maximal torus BT → BX, maximal torus normalizer BN and Weyl group . We prove that for an odd prime p, the fibration has a section, which is unique up to vertical homotopy.
The Novikov conjecture and low-dimensional topology.
The obstruction to the deformation of a map out of a subspace [Book]
The order of the Hopf bundle on projective Stiefel manifolds
The ...(p) Cohomology of Some k Stage Postnikov Systems
The Positvity of the Chern Classes of an Ample Vector Bundle.
The Primary v...-periodic Family.
The Primitive Elements in MU* K(Z/p, 1).
The product formula for Lusternik-Schnirelmann category.
The Product Formula for the Topological Degree of Strict ...-Contractions.
The Radius of Convergence of Poincaré Series of Loop Spaces.