This introduction to topology provides separate,in-depth coverage of both general topology and algebraic topology.Includes many examples and figures. GENERALTOPOLOGY. Set Theory and Logic. Topological Spaces and ContinuousFunctions. Connectedness and Compactness. Countability and SeparationAxioms. The Tychonoff Theorem. Metrization Theorems andparacompactness. Complete Metric Spaces and Function Spaces. BaireSpaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The FundamentalGroup. Separation Theorems. The Seifert-van Kampen Theorem.Classification of Surfaces. Classification of Covering Spaces.Applications to Group Theory. For anyone needing abasic, thorough, introduction to general and algebraic topology andits applications.