The Seifert-van Kampen Theorem using Munkers Topology, Chapter 11.
Higher Homotopy groups using Bredon.
Homology using Munkers Elements of Algebraic Topology.
Cohomology using Munkers Elements of Algebraic Topology. .........
Elementary Concepts of Topology by Paul Alexandroff.
Elements of Algebraic Topology by Munkres (main textbook).
Topology, 2nd Edition, by Munkres.
Algebraic Topology: An Introduction, by Massey.
Algebraic Topology, by Hatcher.
Topology and Geometry by Bredon.
Differential Topology (Geometry)
Topology form the Differential Viewpoint, by Milnor.
Differential Topology, by Guillemin & Pollack.
Differentail Topology, by Hirsch.
The Geometry and Topology of Three-manifolds, by Thurston
The Topology of 4-Manifolds, Kirby.
Homology and Dynamical Systems, by Franks.
Knots and Links in Flows on Three-Manifolds, Ghrist, Holmes & Sullivan.
History of Topology edited by I.M. James.