An abstract setting for homotopy pushouts and pullbacks
An acyclic extension of the braid group.
An algebraic method for calculating the topological degree
An Algebraic Model for G-Simple Homotopy Types.
An algebraic model for homotopy fibers.
An algebraic model of fibration with the fiber -space.
An analogue of convexity for complements of amoebas of varieties of higher codimension, an answer to a question asked by B. Sturmfels.
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
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.
An effective criterion for the existence of a mass partition
An Efficient Degree-Computation Method for a Generalized Method of Bisection.
An exact sequence from the nth to the (n-1)-st fundamental group
An Exact Sequence of Braid Groups.
An example concerning the Whitehead Theorem in shape theory
An example of a fiber in fibrations whose Serre spectral sequences collapse
We give an example of a space with the property that every orientable fibration with the fiber is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of of negative degree.
An example of an asymptotically Chow unstable manifold with constant scalar curvature
Donaldson proved that if a polarized manifold has constant scalar curvature Kähler metrics in and its automorphism group is discrete, is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case where is not discrete.
An extension and axiomatic characterization of Borsuk's theory of shape
An extension of Miller's version of the de Rham Theorem with any coefficients
In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.
An homotopy formula for the Hochschild cohomology