Vasilyeva V. Resolvability of groups and homogeneous spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U002036

Thesis Registration Form

0402U002036.pdf

Applicant for

Specialization

  • 01.01.08 - Математична логіка, теорія алгоритмів і дискретна математика

13-06-2002

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

Groups and homogeneous spaces are considered. Indexes of coresolvability with respect to family {g+X+X} are established or estimated for wide class of Abelian groups. Indexes of resolvability of Abelian groups with respect to families {g+(X-X)+...+(X-X)}, {g+H, H is infinite subgroup of G} are established. It is proved that free group is w-resolvable with respect to family of topologies with certain properties. Iit is proved that homogeneous spaces are maximally resolvable in special cases.

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Files

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