Shukel' O. Geometric prorerties of functors in the asymptotic category.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U001686

Thesis Registration Form

0410U001686.pdf

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

16-03-2010

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

The thesis is devoted to the investigation of geometric properties of functors in the asymptotic category. The problem of metrization of spaces of the form F(X) for defined functor F is solved. It is proved that the considered functor preserves the class of metric spaces of finite asymptotic dimension. It is proved that the functor of G-symmetric power preserves the class of spaces of absolute extensors for the class of spaces of finite asymptotic Assuad-Nagata dimension and the finite asymptotic dimension in the sense of Gromov.

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Files

Dis.pdf

aref.doc

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