The most modern and thorough treatment of unstable homotopy theory
available. The focus is on those methods from algebraic topology
which are needed in the presentation of results, proven by Cohen,
Moore, and the author, on the exponents of homotopy groups. The
author introduces various aspects of unstable homotopy theory,
including: homotopy groups with coefficients; localization and
completion; the Hopf invariants of Hilton, James, and Toda;
Samelson products; homotopy Bockstein spectral sequences; graded
Lie algebras; differential homological algebra; and the exponent
theorems concerning the homotopy groups of spheres and Moore
spaces. This book is suitable for a course in unstable homotopy
theory, following a first course in homotopy theory. It is also a
valuable reference for both experts and graduate students wishing
to enter the field.
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