1 “... includes for the first time anywhere an exposition of three topologies that over the past ten years have...”

2 Table of Contents: “... and the Beck-Chevalley condition without direct images -- An n-categorical pasting theorem -- Topos-theoretic...”

3 “...In the past ten years, there has been much progress in understanding the global dynamics of systems...”

4 “... for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from...”

5 Table of Contents: “...Topology: past, present and future -- The work of Edgar H. Brown, Jr. in Topology -- Homology...”

6 “... to be introduced in the past sixty years is the concept of fibre bundle, which provides an appropriate framework...”

7 “... that all mathematics students should acquire as early as possible. Over the past few centuries...”

8 “...For the past 25 years, the Geometrization Program of Thurston has been a driving force for research...”

9 “... as an artist creating a new work. To the student, fractals bring mathematics out of past history...”

10 “... manifolds. This book is an outgrowth of our work over the past nine years concerning homoclinic chaos...”