Pyrch N. On Markov equivalence of the spaces and mappings

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U001154

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

22-02-2007

Specialized Academic Board

К 35.051.07

Essay

The thesis is devoted to investigation of the isomorphisms of the free topological and paratopological groups. New methods for constructing М-equivalent spaces, mappings and pairs are presented. In the abelian case the classification of the mapping having right inverse and the classification of retract pairs up to A-equivalent spaces is given. In the thesis, topological and algebraic properties of the free (abelian) paratopological groups are investigated.

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