For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately.

The this text IS the Designed to the Provide Instructors the with A of Convenient SINGLE text Resource for Bridging the BETWEEN General and Algebraic Topology courses. Two separate, DISTINCT Sections (One ON General, Point SET Topology, at The OTHER ON Algebraic Topology) are the each Suitable for A One-Semester Course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.  

Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff. Topological Spaces and Continuous Functions. Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. . For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.