TY  - BOOK
AU  - Novikov,S.P.
AU  - Taĭmanov,I.A.
TI  - Topological library
T2  - Series on knots and everything
SN  - 9789812772107
AV  - QA613.66 .C63 2007
U1  - 514.72 22
PY  - 2007///
CY  - Singapore, London
PB  - World Scientific
KW  - Cobordism theory
KW  - Théorie des cobordismes
KW  - MATHEMATICS
KW  - Topology
KW  - bisacsh
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references and index; 1. L.S. Pontrjagin. Smooth manifolds and their applications in homotopy theory -- Introduction -- ch. I. Smooth manifolds and their maps -- ch. II. Framed manifolds -- ch. III. The Hopf invariant -- ch. IV. Classification of mappings -- 2. R. Thom. Some "global" properties ofdifferentiable manifolds / translated by V.O. Manturov with M.M. Postnikov's comments. Introduction. ch. I. Properties of differentiable mappings. ch. II. Submanifolds and homology classes ofa manifold. ch. III. On Steenrods problem. ch. IV. Cobordant differentiable manifolds -- 3. S.P. Novikov. Homotopy properties of Thom complexes / translated by V.O. Manturov. Introduction. ch. I. Thom's spaces. ch. II. Inner honology rings. ch. III. Realization of cycles -- 4. Generalized Poincare's conjecture in dimensions greater than four -- 5. On the structure of manifolds -- 6. On the formal group laws of unoriented and complex cobordism theory -- 7. Formal groups and their role in algebraic topology approach / translated by V.O. Manturov -- 8. Formal groups, power systems and Adams operators / translated by M.L. Glasser
N2  - This is the first of three volumes collecting the original and now classic works in topology written in the 50s-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 fibre spaces."This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=518625
ER  -