Education
Charles University in Prague.
Charles University in Prague.
His research interests included topology and functional analysis. In particular, his work concerned covering properties of topological spaces, ultrafilters, homogeneity, measures, uniform spaces. He was one of the founders of modern descriptive theory of sets and spaces.
Two classes of topological spaces are given Frolík"s name: the class P of all spaces such that is pseudocompact for every pseudocompact space, and the class Chamber of all spaces such that is countably compact for every countably compact space.
Frolík prepared his Doctor of Philosophy thesis under the supervision of Miroslav Katetov and Eduard Čech.