Myrto Kallipoliti
"A topological characterization of the plane and homogeneous continua"
Characterizations of the plane is a classical topic in topology starting from the work of Moore
in the beginning of the 20th century. In this talk we give a new topological characterization
of the plane which distinguishes it among all the simply connected spaces. The proof is based
on a characterization of the 2-sphere given by BIng. This theorem improves an earlier result
of Papasoglu. Using the same methods we also show that simply connected homogeneous continua
are not separated by arcs. This result is inspired by a result about finitely presented groups.
(Joint work with P. Papasoglu)