Syllabus
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
Annotation
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.