Banakh T. Strong universality and its applications to topological classification of convex sets in linear topological spaces

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0501U000018

Thesis Registration Form

0501U000018.pdf

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

27-12-2000

Specialized Academic Board

Д 64.175.01

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

In the dissertation the method of strongly universal and absorbing spaces is developed and a method of coabsorbing spaces is created with the aim of their subsequent application to the problem of topological classification of convex sets in linear topological spaces, in particular, such as spaces of probability measures, weak balls of Banach spaces, operator images, strong duals to metrizable Montel spaces or nuclear (LF)-spaces.

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