This site is being phased out.
Introduction to Topology by Gamelin and Greene
Introduction to Topology by Theodore W. Gamelin, Robert Everist Greene
Used it once as the textbook for Introductory algebraic topology: course.
Could use more pictures. Proofs can be more gentle, details, less "compact".
Overall, a good book.
Cheap.
Contents
ONE METRIC SPACES
3 The real line
4 Products of metric spaces
8 The contraction principle
9 The Frechet derivative
TWO TOPOLOGICAL SPACES
10 Finite product spaces
11 Set theory and Zorn's lemma
THREE HOMOTOPY THEORY
1 Groups
3 The fundamental group
6 Some applications of the index
8 Maps into the punctured plane
10 The Jordan Curve Theorem
FOUR HIGHER DIMENSIONAL HOMOTOPY
1 Higher homotopy groups
2 Noncontractibility of $S^n$
3 Simplexes and barycentric subdivision
4 Approximation by piecewise linear maps