Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 (eBook)

Ib Madsen, R. James Milgram (Autoren)

eBook Download: PDF

2016 | 1. Auflage
296 Seiten
Princeton University Press (Verlag)
978-1-4008-8147-5 (ISBN)

Infos

Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: bijection • Calculation • Characteristic class • Classification theorem • classifying space • Closed manifold • Cobordism • coefficient • cohomology • Commutative diagram • commutative property • Complex Projective Space • Connected sum • corollary • Cup product • Diagram (category theory) • differentiable manifold • Disjoint union • Disk (mathematics) • Effective method • Eilenberg–Moore spectral sequence • Elaboration • equivalence class • exact sequence • Exterior algebra • fiber bundle • fibration • Function composition • Homeomorphism • Homomorphism • Homotopy • Homotopy fiber • Homotopy group • Hopf algebra • H-space • Iterative Method • Loop space • manifold • Massey product • Normal bundle • N-sphere • Obstruction theory • Pairing • Permutation • Piecewise linear • Piecewise linear manifold • polynomial • Prime number • projective space • Sequence • Simply connected space • Special case • Spin structure • Steenrod algebra • Subset • Summation • tensor product • Theorem • topological group • Topological Manifold • Topology • Total order
• ISBN-10: 1-4008-8147-1 / 1400881471
• ISBN-13: 978-1-4008-8147-5 / 9781400881475