The required text is
- G. F. Simmons, Introduction to Topology and Modern Analysis, Krieger Publishing, 1983 (original edition: 1963).
Part One of this book covers the material on set theory, metric spaces, point set topology, and function algebras. I plan to supplement the text with some notes of mine (mainly on nets)
that will be made available through this webpage. The material on basic algebraic topology corresponds to paragraphs one to five of Chapter II and one to four of Chapter V of
- W. S. Massey, A Basic Course in Algebraic Topology, Springer Verlag, 1991.
This text is not not required, and I will make notes available on those topics.
Further recommanded books are:
- G. L. Cain, Introduction to General Topology. Addison Wesley, 1994.
- J. Dixmier, General Topology, Springer Verlag, 1984.
- K. Jänich, Topology, Springer Verlag, 1984.
- J. L. Kelley, General Topology. Springer Verlag, 1975.
- J. R. Munkres, Topology (Second Edition). Prentice Hall, 2000.