## 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