Beginner's Course In Topology Geometric Chapters

Summary: Based on lectures given by the authors at Moscow and Leningrad Universities, this textbook gives a systematic exposition of the main parts of Topology: Homology, Homotopy, Fibre Bundles, and Smooth Manifolds.The main purpose is to present all parts of topology as a unified whole. As a methodological innovation a coordinateless approach to the theory of fibre bundles and an exposition of the foundation of differerenti...al topology without use of differential equations is presented.Many descriptive examples and drawings are included; each section is followed by a set of well chosen exercises. The reader needs only a basic knowledge of set theory, algebra and calculus; so first-year graduate students will find a thorough an profound introduction into the advanced theory of Differential Manifolds. [read more]