By Amiya Mukherjee
This ebook offers a scientific and complete account of the speculation of differentiable manifolds and gives the required history for using primary differential topology instruments. The textual content contains, particularly, the sooner works of Stephen Smale, for which he was once presented the Fields Medal. Explicitly, the subjects coated are Thom transversality, Morse concept, idea of deal with presentation, h-cobordism theorem and the generalised Poincaré conjecture. the fabric is the result of lectures and seminars on quite a few points of differentiable manifolds and differential topology given through the years on the Indian Statistical Institute in Calcutta, and at different universities all through India.
The e-book will entice graduate scholars and researchers drawn to those themes. An uncomplicated wisdom of linear algebra, common topology, multivariate calculus, research and algebraic topology is recommended.
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Differential Topology by Amiya Mukherjee