Syllabus
1. Cech-complete spaces: Definition, Frolik's characterization, Baire theorem.
2. Paracompact spaces: Stone theorem, equivalent descriptions, fine uniformity.
3. Metrization theorems: Urysohn, Bing-Nagata-Smirnov, Bing.
4. Connectedness and local conectedness: components, quasi-components, basic theory of continua.
5. Topological groups: Quotient groups, connected groups.
5. Disconnectedness: Totally disconnected spaces, zero-dimensional spaces, strongly zero-dimensional spaces.
6. Dimension theory: Dimensions dim, ind, Ind, basic inequalities, sum theorem for dim, dimension of metric case and of R^n.
Annotation
Continuation of the course General Topology 1. It is also necessary for the study branch Mathematical Structures.
It provides an information about more advaced parts of the discipline.