  This book is an account of certain topics in general and algebraic topology.
Instead of laying out a synopsis of each chapter, here is a sample of some of
what is taken up: 1) Nilpotency and its role in homotopy theory. 2) Bousfield's
theory of the localization of spaces and spectra. 3) Homotopy limits and
colimits and their applications. 4) The James construction, symmetric products,
and the Dold$-$Thom theorem. 5) Brown and Adams representability in the setting
of triangulated categories 6) Operads and the May$-$Thomason theorem on the
uniqueness of infinite loop space machines. 7) The plus construction and
theorems A and B of Quillen. 8) Hopkins' global picture of stable homotopy
theory. 9) Model categories, cofibration categories, and Waldhausen categories.
10) The Dugundji extension theorem and its consequences.
