Reduced power operations in motivic cohomology
Reduced unstable -modules and the modular representation theory of the symmetric groups
Reducibility theorems for differentiable liftings in fiber bundles
Reducing the number of fixed points of some homeomorphisms on nonprime 3-manifolds.
Reducing the number of periodic points in the smooth homotopy class of a self-map of a simply-connected manifold with periodic sequence of Lefschetz numbers
Let f be a smooth self-map of an m-dimensional (m ≥ 4) closed connected and simply-connected manifold such that the sequence of the Lefschetz numbers of its iterations is periodic. For a fixed natural r we wish to minimize, in the smooth homotopy class, the number of periodic points with periods less than or equal to r. The resulting number is given by a topological invariant J[f] which is defined in combinatorial terms and is constant for all sufficiently large r. We compute J[f] for self-maps...
Reedy categories which encode the notion of category actions
We study a certain type of action of categories on categories and on operads. Using the structure of the categories Δ and Ω governing category and operad structures, respectively, we define categories which instead encode the structure of a category acting on a category, or a category acting on an operad. We prove that the former has the structure of an elegant Reedy category, whereas the latter has the structure of a generalized Reedy category. In particular, this approach gives a new way to regard...
Refinable maps in the theory of shape
Refining thick subcategory theorems
We use a K-theory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category of spectra. This gives, in the derived categories, a complete classification of the triangulated subcategories of perfect complexes over some commutative rings. In the stable homotopy category of spectra we obtain only...
Reflexive and dihedral (co)homology of a pre-additive category.
Reflexive Garben vom Rang r > 2 auf ...
Regular differential forms on stratified spaces.
Regular Rational Homotopy Types.
Reguläre idempotente Multiplikationen.
Reidemeister conjugacy for finitely generated free fundamental groups
Let X be a space with the homotopy type of a bouquet of k circles, and let f: X → X be a map. In certain cases, algebraic techniques can be used to calculate N(f), the Nielsen number of f, which is a homotopy invariant lower bound on the number of fixed points for maps homotopic to f. Given two fixed points of f, x and y, and their corresponding group elements, and , the fixed points are Nielsen equivalent if and only if there is a solution z ∈ π₁(X) to the equation . The Nielsen number is the...
Reidemeister orbit sets
The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending Ferrario's work on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets. Similar formulae for Nielsen type essential orbit numbers are also proved for fibre preserving maps.
Reidemeister torsion, spectral sequences, and Brieskorn spheres.
Relationen für primäre Homotopieoperationen und eine verallgemeinerte EHP-Sequenz
Relations between holomorphic quadratic differentials II
Relations de conjugaison et de cobordisme entre certains feuilletages
Relations entre opérations cohomologiques secondaires