Characteristic Classes. (AM-76), Volume 76 /

Characteristic Classes. (AM-76), Volume 76 / / James D. Stasheff, John Milnor.

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds.In this volume, t...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Milnor, John,
Stasheff, James D.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1974
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 76
Online Access:
Physical Description:1 online resource (340 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 07968nam a22019215i 4500
001 9781400881826
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20161974nju fo d z eng d
020 |a 9781400881826 
024 7 |a 10.1515/9781400881826  |2 doi 
035 |a (DE-B1597)467980 
035 |a (OCoLC)979968794 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
050 4 |a QA613.618  |b .M54 1974eb 
072 7 |a MAT038000  |2 bisacsh 
082 0 4 |a 514/.7  |2 23 
100 1 |a Milnor, John,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Characteristic Classes. (AM-76), Volume 76 /  |c James D. Stasheff, John Milnor. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1974 
300 |a 1 online resource (340 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Annals of Mathematics Studies ;  |v 76 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t §1. Smooth Manifolds --   |t §2. Vector Bundles --   |t §3. Constructing New Vector Bundles Out of Old --   |t §4. Stiefel-Whitney Classes --   |t §5. Grassmann Manifolds and Universal Bundles --   |t §6. A Cell Structure for Grassmann Manifolds --   |t §7. The Cohomology Ring H*(Gn; Z/2) --   |t §8. Existence of Stiefel-Whitney Classes --   |t §9. Oriented Bundles and the Euler Class --   |t §10. The Thom Isomorphism Theorem --   |t §11. Computations in a Smooth Manifold --   |t §12. Obstructions --   |t §13. Complex Vector Bundles and Complex Manifolds --   |t §14. Chern Classes --   |t §15. Pontrjagin Classes --   |t §16. Chern Numbers and Pontrjagin Numbers --   |t §17. The Oriented Cobordism Ring Ω* --   |t §18. Thom Spaces and Transversality --   |t §19. Multiplicative Sequences and the Signature Theorem --   |t §20. Combinatorial Pontrjagin Classes --   |t Epilogue --   |t Appendix A: Singular Homology and Cohomology --   |t Appendix B: Bernoulli Numbers --   |t Appendix C: Connections, Curvature, and Characteristic Classes --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds.In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers.Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Characteristic classes. 
650 7 |a MATHEMATICS / Topology.  |2 bisacsh 
653 |a Additive group. 
653 |a Axiom. 
653 |a Basis (linear algebra). 
653 |a Boundary (topology). 
653 |a Bundle map. 
653 |a CW complex. 
653 |a Canonical map. 
653 |a Cap product. 
653 |a Cartesian product. 
653 |a Characteristic class. 
653 |a Charles Ehresmann. 
653 |a Chern class. 
653 |a Classifying space. 
653 |a Coefficient. 
653 |a Cohomology ring. 
653 |a Cohomology. 
653 |a Compact space. 
653 |a Complex dimension. 
653 |a Complex manifold. 
653 |a Complex vector bundle. 
653 |a Complexification. 
653 |a Computation. 
653 |a Conformal geometry. 
653 |a Continuous function. 
653 |a Coordinate space. 
653 |a Cross product. 
653 |a De Rham cohomology. 
653 |a Diffeomorphism. 
653 |a Differentiable manifold. 
653 |a Differential form. 
653 |a Differential operator. 
653 |a Dimension (vector space). 
653 |a Dimension. 
653 |a Direct sum. 
653 |a Directional derivative. 
653 |a Eilenberg-Steenrod axioms. 
653 |a Embedding. 
653 |a Equivalence class. 
653 |a Euler class. 
653 |a Euler number. 
653 |a Existence theorem. 
653 |a Existential quantification. 
653 |a Exterior (topology). 
653 |a Fiber bundle. 
653 |a Fundamental class. 
653 |a Fundamental group. 
653 |a General linear group. 
653 |a Grassmannian. 
653 |a Gysin sequence. 
653 |a Hausdorff space. 
653 |a Homeomorphism. 
653 |a Homology (mathematics). 
653 |a Homotopy. 
653 |a Identity element. 
653 |a Integer. 
653 |a Interior (topology). 
653 |a Isomorphism class. 
653 |a J-homomorphism. 
653 |a K-theory. 
653 |a Leibniz integral rule. 
653 |a Levi-Civita connection. 
653 |a Limit of a sequence. 
653 |a Linear map. 
653 |a Metric space. 
653 |a Natural number. 
653 |a Natural topology. 
653 |a Neighbourhood (mathematics). 
653 |a Normal bundle. 
653 |a Open set. 
653 |a Orthogonal complement. 
653 |a Orthogonal group. 
653 |a Orthonormal basis. 
653 |a Partition of unity. 
653 |a Permutation. 
653 |a Polynomial. 
653 |a Power series. 
653 |a Principal ideal domain. 
653 |a Projection (mathematics). 
653 |a Representation ring. 
653 |a Riemannian manifold. 
653 |a Sequence. 
653 |a Singular homology. 
653 |a Smoothness. 
653 |a Special case. 
653 |a Steenrod algebra. 
653 |a Stiefel-Whitney class. 
653 |a Subgroup. 
653 |a Subset. 
653 |a Symmetric function. 
653 |a Tangent bundle. 
653 |a Tensor product. 
653 |a Theorem. 
653 |a Thom space. 
653 |a Topological space. 
653 |a Topology. 
653 |a Unit disk. 
653 |a Unit vector. 
653 |a Variable (mathematics). 
653 |a Vector bundle. 
653 |a Vector space. 
700 1 |a Stasheff, James D.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Annals of Mathematics eBook-Package 1940-2020  |z 9783110494914  |o ZDB-23-PMB 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691081229 
856 4 0 |u https://doi.org/10.1515/9781400881826 
856 4 0 |u https://www.degruyter.com/isbn/9781400881826 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400881826/original 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PMB  |c 1940  |d 2020 

Similar Items