مادة دراسية
مقدمة في التبولوجيا (373 ريض)
Book: Introduction to Topology, Jawaher Al-Mufarrij
Chapter 2: Topological Spaces
2.1 Topological Spaces
2.2 Closed Sets and Closure
2.3 Limit Points
2.4 Interior, Exterior, and Boundary of a Set
2.5 Bases and Subbases
2.6 The Subspace Topology
Chapter 3: Continuity, Homeomorphism, and Product Spaces
3.1 Continuous Functions
3.2 Homeomorphisms and Topological Properties
3.3 Finite Products of Topological Spaces
Chapter 4: Separation Axioms
4.2 Hausdorff Spaces
Chapter 5: Metric Spaces
5.1 Metric Spaces
5.2 Metric Topology
5.3 Sequences
5.4 Some Properties of Metric Spaces
Chapter 6: Compactness
6.1 Compact Spaces
6.2 Some Properties of Compact Spaces
6.3 Other Types of Compactness