Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.

Director Eric Brevig's adaptation of the classic Jules Verne adventure story is the first live-action feature to be shot in digital 3-D. His scientific theories rubbished by his eminent colleagues, Professor Trevor Anderson (Brendan Fraser) sets off on a backpacking trip to Iceland to get away from it all with his nephew Sean (Josh Hutcherson) and local guide Hannah (Anita Briem). Stumbling across a previously unknown cave system, the explorers soon find themselves journeying deeper and deeper into the earth's core, on a rollercoaster ride into an unknown world populated by man-eating plants, lava lakes, and some seriously hungry dinosaurs.