EUDML

Advanced Search

Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

The Tangent cone of an Aleksandrov space of curvature.

Igor Nikolaev — 1995

Manuscripta mathematica

The Poincaré-Bendixson theorem and arational foliations on the sphere

Igor Nikolaev — 1996

Annales de l'institut Fourier

Foliations on the 2-sphere with a finite number of non-orientable singularities are considered. For this class a Poincaré-Bendixson theorem is established. In particular, the work gives an answer to a problem of H. Rosenberg concerning labyrinths.

$A F$ -algebras and topology of mapping tori

Igor Nikolaev — 2015

Czechoslovak Mathematical Journal

The paper studies applications of $C^{*}$ -algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of $A F$ -algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding $A F$ -algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension $2$ , $3$ and $4$ . In conclusion, we consider two numerical examples illustrating our main results.

On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras.

Nikolaev, Igor V. — 2009

The New York Journal of Mathematics [electronic only]

Page 1

Download Results (CSV)