Abstract homotopy theory in procategories
Acat invariant of quasi-commutative algebras. (L'invariant Acat des algèbres quasi-commutatives.)
Acyclic decomposition of acyclic spaces
Adams and Steenrod operators in dihedral homology.
Adams completion and Postnikov systems
Addendum to "Čech and Steenrod homotopy theory with applications to geometric topology"
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...
Aktionen kompakter Liegruppen auf lokalen Räumen.
Algebraic cycles and infinite loop spaces.
Algebraic cycles and the classical groups II: quaternionic cycles.
Algebraic K-theory of rings from a topological viewpoint.
Because of its strong interaction with almost every part of pure mathematics, algebraic K-theory has had a spectacular development since its origin in the late fifties. The objective of this paper is to provide the basic definitions of the algebraic K-theory of rings and an overview of the main classical theorems. Since the algebraic K-groups of a ring R are the homotopy groups of a topological space associated with the general linear group over R, it is obvious that many general results follow...
Algebraic models of Poincaré embeddings.
Algebraic theory of fundamental dimension [Book]
Algebraic topology for proper shape theory
Almost transitive actions on spaces with the rational homotopy of sphere products.
An abstract setting for homotopy pushouts and pullbacks
An Algebraic Model for G-Simple Homotopy Types.
An algebraic model for homotopy fibers.
An approach to shape covering maps.
In this note we give an approach to shape covering maps which is comparable to that of *-fibrations (Mardesic and Rushing (1978)). The introduced notion conserves some important properties of usual covering maps.
An Arithmetic Characterization of the Rational Homotopy Groups of Certain Spaces.