腾讯会议：527-6490-3759
摘要: Markov says that a subset S of G is unconditionally closed in G if S is closed in every Hausdorff group topology on G. The Markov topology on G is the coarsest topology on G making every unconditionally closed set closed. The Zariski topology, is defined to be the topology generated by complements of solution sets (a solution set is a subset of G consisting of all solutions of some equation in G). Markov asked in 1945 whether the two topologies coincide. It is known that for countable groups as well as abelian groups, the answer is positive. First counter-example to Markov’s problem was constructed in 1979 by Hesse in his PhD thesis.
In this talk, the speaker confirms that the two topologies coincide for free groups. This is a joint work with Victor Hugo Yanez.
