Speaker
Leonid Genze
(Tomsk state university)
Description
The talk will be devoted to free $n$-periodic and free Abelian $n$-periodic topological groups of the Tikhonoff space $X$. A classification of these groups will be given for the case when $X$ is a compact segment of ordinals. The second part of the report will compare some properties of $n$-periodic (Abelian) groups with the properties of free (Abelian) topological groups, which were introduced and studied in the classical works of A.A. Markov and M.I. Graev in 1945 and 1948, respectively.
Primary author
Leonid Genze
(Tomsk state university)