Hetman I. Topological structure of the hyperspaces of closed convex subsets in linear topological spaces.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U003368

Thesis Registration Form

0414U003368.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-05-2014

Specialized Academic Board

К 20.051.09

Kolomyia Educational-Scientific Institute The Vasyl Stefanyk Precarpathian National University

Essay

Dissertation is devoted to recognizing topological structure of the hyperspaces of closed convex spaces in linear topological spaces. In second and third chapter we prove "hidden" characterization of polyhedral and approximately polyhedral convex sets. In fourth and fifth chapters is described topological structure of the hyperspaces of closed convex and polyhedral subsets in Banach spaces respectively. In sixth chapter is proven equality of completeness infinite-dimensional space to topological and weak homogeneity of its hyperspace of bounded closed convex subsets.

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Files

aref.doc

aref.doc

dis.pdf

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