TOPOLOGY
TOPOLOGY
Syllabus - A. Bucki
- Elements of Set Theory.
- Sets; Boolean Algebras; Cartesian Product; Power Set
- Relations; Equivalence Relations; Functions
- Topological Spaces.
- Basis for a Certain Topology
- Topology generated by Family of Subsets
- Relative Topology
- Continuity of Functions; Homeomorphisms
- Cartesian Product Topology
- Connectedness.
- Separation Axioms.
- Compact Spaces.
- Metric spaces.
- Metrics, Pseudo-metrics, Quasi-pseudo-metrics
- Properties of Metric Topologies
- Complete Spaces.
- Introduction to Algebraic Topology.