Mazurenko N. Absorbing systems in the hyperspace related to the Hausdorff dimension

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002504

Thesis Registration Form

0406U002504.pdf

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

12-05-2006

Specialized Academic Board

K64.051.11

Essay

Topological structure of the system of hyperspaces of compacta in Euclidean space with given Hausdorff dimension is described. Analogous results are obtained for the hyperspaces in the domains of the Euclidean spaces and Riemannian manifolds. The topology of systems of compacta indexed simultaneously by the Hausdorff and Lebesgue dimension is described. The topological type of the system of the set of continuous functions on an n-dimensional cube with given Hausdorff dimension is described.

Read more

Files

AREF.doc

dis.pdf

Similar theses

0421U102802

Pstryi Kateryna Mykolaivna

Topologization and extension of groups, bicyclic semigroups and their variants

0421U102797

Polyvoda Oryslava Yevhenivna

Infinite-dimensional manifolds modeled on injective limit of absolute extensors

0421U102553

Romanskyi Mykhailo M.

Functors and asymptotic properties of metric spaces.

0420U101680

Hladysh Bohdana I

Functions with critical points on the boundary of low-dimensional manifolds

0419U003254

Hlushak Inna D.

Approximations of non-additive measures