Text
Marvin J. Greenberg and John R. Harper, Algebraic Topology,
A First Course,
Addison-Wesley, New York 1981.
References
Edwin Spanier, Algebraic Topology
Encyclopedic but rather dry.
P.J. Hilton and S. Wylie, Homology Theory
Engaging but marred by exotic terminology and notation.
H. Seifert and W. Threlfall, A Textbook in Topology
Still very useful for intuition and examples (trefoil knot
complement, dodecahedral space, incidence matrices, etc.). The original
German Lehrbuch der Topologie is also available.
William Massey Singular Homology Theory
Another standard text.