DMS Continuum Theory/Set Theoretic Topology Seminar

Speaker: Alexander Shibakov (flying his plane from Tennessee)

Title: Precompact groups and convergence.

Abstract: We will consider the question of the existence of precompact sequential group topologies on countable groups and show that such topologies fail to exist in many cases, answering some questions of D. Dikranjan. We will also give a (consistent) example of a "barely Fréchet" countably compact space disproving a conjecture of D. Shakhmatov from 1990.