Pankov M. Irregular subsets of the Grassmanian manifolds and them applications to the mapping theory.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U000583

Thesis Registration Form

0499U000583.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-03-1999

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The irregular subsets of the Grassmannian manifold are considered. Their properties are used for the research of the matters connected to the Chogoshvili Conjecture and the Hurevicz-Wallman problem. Also the upper Hurevicz-Wallman problem. Also the upper bound for the dimension of a typical level set of Hausdorff maps is found.

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