Topology. An introduction to the point-set and algebraic areas
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ch. 1. Logic, set theory, and the axiom of choice -- ch. 2. Metric spaces -- ch. 3. General topological spaces, bases, continuous functions, product spaces -- ch. 4. The special notions of compactness and connectedness -- ch. 5. Sequences, countability, separability, and metricization -- ch. 6. Quotients, local compactness, tietze extension, complete metrics, baire category -- ch. 7. Generalities about manifolds, the classification of surfaces -- ch. 8. The fundamental group -- ch. 9. Covering spaces -- ch. 10. Calculation of some fundamental groups, applications
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