Brydun V. Asymptotic properties for algebraic structures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U006025

Thesis Registration Form

0409U006025.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

17-12-2009

Specialized Academic Board

К 35.051.07

Essay

In the thesis, the hyperspace monad in the coarse category is constructed and the theorem on extension of the G-symmetric power functor onto the Kleisli category of this monad is proved. Coarse structures on the sets of the form FX, where F is a finite normal functor of the finite degree, are introduced. A characterization theorem for the G-symmetric power functor in the coarse category is proved.

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Files

Aref.pdf

Dis.pdf

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