Kozhan R. Categorical properties of spaces of probability measures and inclusion hyperspaces.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U001998

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

17-04-2008

Specialized Academic Board

Д 35 051.18

Essay

The thesis studies preservation of openness of characteristic maps of diagrams by functors of probability measures, inclusion hyperspaces and related to them functors. The notion of open multicommutativity of weakly normal functors is introduces and investigated in the categories of compact hausdorff and completely regular spaces.

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