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.
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
THREE HOMOTOPY THEORY
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
4 Approximation by piecewise linear maps