A de Rham theorem in the context of noncommutative geometry.
A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.
A Decomposition Theorem for the Integral Homology of a Variety.
A Definition of Exotic Characteristic Classes of Spherical Fibrations
A degree for a class of acyclic-valued vector fields in Banach spaces
A degree theory for almost continuous functions
A dimensional property of Cartesian product
We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
A double complex related with a system of partial differential equations. II
A double complex related with a system of partial differential equations. I
A Drived Homotopy Product.
A duality on simplicial complexes.
A Duality Theorem for Complex Manifolds.
-algebras and topology of mapping tori
The paper studies applications of -algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of -algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding -algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension , and . In conclusion, we consider two numerical examples illustrating our main results.
A Fiber bundle theorem.
A Filtration of the Loops on SU (N) by Schubert Varieties.
A fixed point index for bimaps
A Fixed Point Index Theory for Symmetric Product Mappings.
A fixed point theorem in o-minimal structures
Here we prove an o-minimal fixed point theorem for definable continuous maps on definably compact definable sets, generalizing Brumfiel’s version of the Hopf fixed point theorem for semi-algebraic maps.
A fixed-point theorem for homeomorphisms of
A formula for the rational LS-category of certain spaces
In this paper we find a formula for the rational LS-category of certain elliptic spaces which generalizes or complements previous work of the subject. This formula is given in terms of the minimal model of the space.