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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
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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
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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
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This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geom
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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen