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1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
Book Synopsis Topological Library by : Sergeĭ Petrovich Novikov
Download or read book Topological Library written by Sergeĭ Petrovich Novikov and published by World Scientific. This book was released on 2010 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
Book Synopsis Topological Library by : Serge? Petrovich Novikov
Download or read book Topological Library written by Serge? Petrovich Novikov and published by World Scientific. This book was released on 2012 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s–1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.” Contents:Singular Homology of Fiber Spaces (J-P Serre)Homotopy Groups and Classes of Abelian Groups (J-P Serre)Cohomology Modulo 2 of Eilenberg–MacLane Complexes (J-P Serre)On Cohomology of Principal Fiber Bundles and Homogeneous Spaces of Compact Lie Groups (A Borel)Cohomology Mod 2 of Some Homogeneous Spaces (A Borel)The Steenrod Algebra and Its Dual (J Milnor)On the Structure and Applications of the Steenrod Algebra (J F Adams)Vector Bundles and Homogeneous Spaces (M F Atiyah and F Hirzebruch)The Methods of Algebraic Topology from Viewpoint of Cobordism Theory (S P Novikov) Readership: Researchers in algebraic topology, its applications, and history of topology. Keywords:Topology;Homeomorphism;Fundamental Group;Smooth Manifold;Homology;Homotopy;Fiber Spaces;Vector Bundles;Characteristic Classes;Homogeneous Spaces;Cobordism;Steenrod AlgebraKey Features:Serves as a tool in learning classical algebraic topologyAn essential book for topologistsReviews: "It is utmost useful to have these (interrelated) classics gathered together in one volume. This facilitates the study of the originals considerably, all the more as numerous editorial hints provide additional guidance. In this regard, the entire edition represents an invaluable source book for both students and researchers in the field." Zentralblatt MATH "This is a nice volume that should not be missing in any Mathematics Library." European Mathematical Society
Book Synopsis Topological Library by : S P Novikov
Download or read book Topological Library written by S P Novikov and published by World Scientific. This book was released on 2012-07-25 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s–1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.” Contents:Singular Homology of Fiber Spaces (J-P Serre)Homotopy Groups and Classes of Abelian Groups (J-P Serre)Cohomology Modulo 2 of Eilenberg–MacLane Complexes (J-P Serre)On Cohomology of Principal Fiber Bundles and Homogeneous Spaces of Compact Lie Groups (A Borel)Cohomology Mod 2 of Some Homogeneous Spaces (A Borel)The Steenrod Algebra and Its Dual (J Milnor)On the Structure and Applications of the Steenrod Algebra (J F Adams)Vector Bundles and Homogeneous Spaces (M F Atiyah and F Hirzebruch)The Methods of Algebraic Topology from Viewpoint of Cobordism Theory (S P Novikov) Readership: Researchers in algebraic topology, its applications, and history of topology. Keywords:Topology;Homeomorphism;Fundamental Group;Smooth Manifold;Homology;Homotopy;Fiber Spaces;Vector Bundles;Characteristic Classes;Homogeneous Spaces;Cobordism;Steenrod AlgebraKey Features:Serves as a tool in learning classical algebraic topologyAn essential book for topologistsReviews: "It is utmost useful to have these (interrelated) classics gathered together in one volume. This facilitates the study of the originals considerably, all the more as numerous editorial hints provide additional guidance. In this regard, the entire edition represents an invaluable source book for both students and researchers in the field." Zentralblatt MATH "This is a nice volume that should not be missing in any Mathematics Library." European Mathematical Society
This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s?1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated ?singular homologies of fiber spaces.?
Book Synopsis Topological Library: Characteristic classes and smooth structures on manifolds by : Serge? Petrovich Novikov
Download or read book Topological Library: Characteristic classes and smooth structures on manifolds written by Serge? Petrovich Novikov and published by World Scientific. This book was released on 2009-10-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s?1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated ?singular homologies of fiber spaces.?
Download or read book Topological Library written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Library written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
Book Synopsis Topological Library by : Сергей Петрович Новиков
Download or read book Topological Library written by Сергей Петрович Новиков and published by World Scientific Publishing Company. This book was released on 2007 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
Book Synopsis Elementary Concepts of Topology by : Paul Alexandroff
Download or read book Elementary Concepts of Topology written by Paul Alexandroff and published by Courier Corporation. This book was released on 2012-08-13 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
Book Synopsis Introduction to Topology by : Theodore W. Gamelin
Download or read book Introduction to Topology written by Theodore W. Gamelin and published by Courier Corporation. This book was released on 2013-04-22 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.
Book Synopsis Topological Groups by : R. V. Gamkrelidze
Download or read book Topological Groups written by R. V. Gamkrelidze and published by CRC Press. This book was released on 1987-03-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.
