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040			_aCSL _beng _cCSL
041			_aeng
084			_aB33 N3 TB _qCSL
100			_aKosinski, Antoni A _eauthor. _9821031
245		0	_aDifferential Manifolds
260			_aNew York : _bDover Publications, Inc., _c1993.
300			_axvi, 262p.
500			_aIncludes Appendix I-II 223-246p.; Bibliography 247-254p.; Index 255-262p.
520			_aThe concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential structures on spheres. "How useful it is," noted the Bulletin of the American Mathematical Society, "to have a single, short, well-written book on differential topology." This volume begins with a detailed, self-contained review of the foundations of differential topology that requires only a minimal knowledge of elementary algebraic topology. Subsequent chapters explain the technique of joining manifolds along submanifolds, the handle presentation theorem, and the proof of the h-cobordism theorem based on these constructions. There follows a chapter on the Pontriagin Construction—the principal link between differential topology and homotopy theory. The final chapter introduces the method of surgery and applies it to the classification of smooth structures of spheres. The text is supplemented by numerous interesting historical notes and contains a new appendix, "The Work of Grigory Perelman," by John W. Morgan, which discusses the most recent developments in differential topology.
650			_aDifferential manifolds. _9821032
650			_aMathematics. _9821033
942			_hB33 N3 TB _cTB _2CC _n0
999			_c15247 _d15247