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 BanachMazur game. 
literature 

form of tuition 
Lectures 
mode of assessment 
oral exam 