Actions and automorphisms of crossed modules
Actions cycliques libres sur les 3-Q-sphères
Actions de groupes finis sur : la conjecture de P. A. Smith
Actions of Compact Lie Groups on Homogeneous Spaces.
Acyclic decomposition of acyclic spaces
Acyclic Maps and Knot Complements.
Adams and Steenrod operators in dihedral homology.
Adams completion and Postnikov systems
Adams spectral sequence and higher torsion in MSp*.
In this paper we study higher torsion in the symplectic cobordism ring. We use Toda brackets and manifolds with singularities to construct elements of higher torsion and use the Adams spectral sequence to determine an upper bound for the order of these elements.
Addendum to: A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
Addendum to "Čech and Steenrod homotopy theory with applications to geometric topology"
Adem relations in the Dyer-Lashof algebra and modular invariants.
Adjunction of n-equivalences and triad connectivity.
We prove a new adjunction theorem for n-equivalences. This theorem enables us to produce a simple geometric version of proof of the triad connectivity theorem of Blakers and Massey. An important intermediate step is a study of the collapsing map S∨X → S, S being a sphere.
Affine group acting on hyperspaces of compact convex subsets of ℝⁿ
For every n ≥ 2, let cc(ℝⁿ) denote the hyperspace of all nonempty compact convex subsets of the Euclidean space ℝⁿ endowed with the Hausdorff metric topology. Let cb(ℝⁿ) be the subset of cc(ℝⁿ) consisting of all compact convex bodies. In this paper we discover several fundamental properties of the natural action of the affine group Aff(n) on cb(ℝⁿ). We prove that the space E(n) of all n-dimensional ellipsoids is an Aff(n)-equivariant retract of cb(ℝⁿ). This is applied to show that cb(ℝⁿ) is homeomorphic...
Affine simplices in Oka manifolds.
Aktionen kompakter Liegruppen auf lokalen Räumen.
Alexander duality, gropes and link homotopy.
Algebra cochains and cyclic cohomology
Algebraic characteristic classes for idempotent matrices.
This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold.
Algebraic characterization of the dimension of differential spaces