The course will cover all basic topics from Continuum theory:

1. The construction of continua as nested sequences

2. Continuum as a inverse limit

3. Decomposition of continua

4. Theorems about limits

5. Boundary bumping theorem

6. Existence of non-cut points

7. A general mapping theorem

8. Peano continua

9. Graphs

10. Dendrites

11. Irreducible continua

12. Arc-like continua

13.Special types of maps and their properties

From the topological point of view a continuum is a compact connected metric space. The course will be devoted to the study of further topological properties of a continuum.

An important part will be the constructions of various continua, which are the basic stones in a other math fields.