discipline

Mathematics

subject

Real functions 1

lecturers

Miklós Laczkovich, Tamás Keleti

credits

2

period

First semester

curriculum

Topology (separation and countability axioms, compactness, metric spaces, Polish spaces). Nowhere dense sets, sets of first and of

second category, residual sets. The Baire category theorem. Monotonicity theorems. The typical properties of continuous functions. The Banach theorem and its corollaries. The Banach-Mazur game.

literature

 

form of tuition

Lectures

mode of assessment

oral exam