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Measures on algebraic-topological structures and their applications (FR/116/5-100/14)


Funded by

SRNSFGShota Rustaveli National Science Foundation of Georgia

Start Date: 2015-01-01       End Date: 2018-01-01

e one dimensional stochastic model, which allowed us to get a strong mathematical analysis of conjectures of Jum
Nunnally(1960) and Jacob Cohen(1993) arised under criticism of the theory of statistical decisions and asserted that the Null
Hypothesis is rejected for ''almost every" infinite sample by some Hypothesis Testing of “maximal reliability”.
So, one can anticipate that any progress in measure theory developped for infinite-dimensional Polish topological vector spaces
will initiate the corresponding progress of the above-mentioned fields of mathematics. Moreover, the area of applications of
measure theory.

Project members:

Publications

  • Alexander Kharazishvili, On some classes of negligible subsets of the Euclidean plane, Georgian Math. J., 2018 / 25, no. 1, 41-46, De Gruyter, 2017.
  • Alexander Kharazishvili, A characterization of sets containing absolutely nonmeasurable subsets, Georgian Math. J., 2017 / 24, no. 2, 211-215, De Gruyter, 2017.