Klishchuk B. Geometric properties of generalized convex sets in Euclidean spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U000084

Thesis Registration Form

0415U000084.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-12-2014

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

In the thesis there was solved the problem related to Mizel problem. There were studied some properties of multivalued mappings in Euclidean space. There was obtained the hypercomplex analogue of the theorem on affinity of a homeomorphic transformation, strictly invariant at linearly convex compacts and we proved the theorems on affinity of a mapping strictly invariant at the set of vertices of n -dimensional rectangular parallelepipeds and at the set of vertices of suspentions over the rectangular parallelepipeds.

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Files

Автореферат.pdf

Дисертація.pdf

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