Lecture Notes
Topology
Lecture Notes
General Topology
Algebraic Topology
Homology
Cohomology
Problem Sets
References and Further Reading
Click on linked topics to view lecture notes.
Open Sets and Closed Sets
Bases and Subbases
Limit Points, Boundary Points, and Sequential Limits
Free Abelian Groups
Simplexes and Simplicial Complexes
Cycle Groups and Boundary Groups
Click on the following links topics for problems.
In the alphabetical order of first author's last name and then that of title.
Mark A. Armstrong, Basic Topology, Undergraduate Texts in Mathematics, Springer, 1997
Allen Hatcher, Algebraic Topology Book
Fred H. Croom, Basic Concepts of Algebraic Topology, Undergraduate Texts in Mathematics, Springer, 1978
William S. Massey, A Basic Course in Algebraic Topology,Graduate Texts in Mathematics, v. 127, Springer, 1997
William S. Massey, Algebraic Topology: An Introduction, Graduate Texts in Mathematics, v. 56, Springer, 1990
James R. Munkres, Elements of Algebraic Topology, Westview Press, 1995
James R. Munkres, Topology, 2nd Edition, Prentice-Hall, 2000
Mikio Nakahara, Geometry, Topology and Physics, 2nd Edition, Graduate Student Series in Physics, Taylor & Francis, 2003
Charles Nash, Differential Topology and Quantum Field Theory, Academic Press, 1991
Charles Nash and Siddhartha Sen, Topology and Geometry for Physicists, Academic Press, Inc., 1983
Isidore M. Singer and John A. Thorpe, Lecture Notes on Elementary Topology and Geometry, Undergraduate Texts in Mathematics, Springer, 1976