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1. Sets and Relations 2. Functions 3. Cardinality, Order 4. Topology of the Line and Plane 5. Topological Spaces: Definitions 6. Bases and Subbases 7. Continuity and Topological Equivalence 8. Metric and Normed Spaces 9. Countability 10. Separation Axioms 11. Compactness 12. Product Spaces 13. Connectedness 14. Complete Metric Spaces 15. Function Spaces
Seymour Lipschutz is on the mathematics faculty of Temple University. He formerly taught at the Polytechnic Institute of Brooklyn and was visiting professor in the computer science department of Brooklyn College. He is the author of Schaum's Outline of Beginning Linear Algebra, Schaum's Outline of Discrete Mathematics, and Schaum's Outline of Linear Algebra.