Basic Concepts of Algebraic Topology by Fred H. CroomRequirements: .PDF reader, 14 MBOverview: This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows […]
A Basic Course in Algebraic Topology by William S. MasseyRequirements: .PDF reader, 38 MBOverview: This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed […]
Basic Topology 2: Topological Groups, Topology of Manifolds and Lie Groups by Avishek Adhikari, Mahima Ranjan AdhikariRequirements: .PDF reader, 3.27 MBOverview: This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, […]