Annotation
The course is devoted to the basics of General topology. A rough syllabus follows:
1. The definition of a topology, closed and open sets, basis of a topology, local basis at a point, density
2. Continuous mappings, projectively and inductively generated topologies
3. Separation axioms, Urysohn's lemma, Tietze's theorem, Jones' lemma, linearly ordered spaces, Tykhonoff's plank, The Sorgenfrey line
4. Products of topological spaces, Hewitt-Marczewski-Pondyczéry Theorem, Diagonal lemma, The Tykhonoff cube, The Cantor cube
5. Compactness