By Antoni A. Kosinski

The suggestions of differential topology shape the guts of many mathematical disciplines similar to differential geometry and Lie staff conception. Differential Manifolds provides to complex undergraduates and graduate scholars the systematic examine of the topological constitution of soft manifolds. writer Antoni A. Kosinski, Professor Emeritus of arithmetic at Rutgers collage, deals an obtainable method of either the h-cobordism theorem and the category of differential buildings on spheres.
"How invaluable it is," famous the Bulletin of the yankee Mathematical Society, "to have a unmarried, brief, well-written e-book on differential topology." This quantity starts with an in depth, self-contained overview of the rules of differential topology that calls for just a minimum wisdom of basic algebraic topology. next chapters clarify the means of becoming a member of manifolds alongside submanifolds, the deal with presentation theorem, and the evidence of the h-cobordism theorem in line with those structures. There follows a bankruptcy at the Pontriagin Construction—the crucial hyperlink among differential topology and homotopy thought. the ultimate bankruptcy introduces the strategy of surgical procedure and applies it to the type of tender constructions of spheres. The textual content is supplemented by means of a variety of attention-grabbing ancient notes and encompasses a new appendix, "The paintings of Grigory Perelman," by way of John W. Morgan, which discusses the latest advancements in differential topology.

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