In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prer

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and

This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author introduces a new class of s

This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen