The Topology of Fibre Bundles

Naslovnica
Princeton University Press, 25. tra 1999. - Broj stranica: 229

Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically.


It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.

 

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Autorska prava

Ostala izdanja - Prikaži sve

The Topology of Fibre Bundles
Norman Steenrod
Ograničeni pregled - 1999

Uobičajeni izrazi i fraze

admissible map arcwise connected associated bundle automorphism B₁ base space bundle map bundle structure bundle with group cell characteristic class characteristic map choose cochain cocycle commutativity compact complex constant map continuous coordinate bundle coordinate neighborhood coordinate transformations COROLLARY corresponding coset space covering homotopy cross-section curve cyclic group defined definition deformation denote element equivalence classes extendable fibre bundle follows function g₁ group G h₁ Hence homology homomorphism homotopy class homotopy groups homotopy sequence Hopf identity map implies inclusion map infinite cyclic integer invariant isomorphism k-planes kernel left translations LEMMA Let h Lie group map f map h Math matrix Mn,k n-sphere non-zero obtain open set oriented orthogonal primary obstruction principal bundle product bundle projection proof proved q-cell represents result sphere bundle Stiefel Suppose tangent bundle tensor bundles theorem topological V₁ vector x₁ Y₁ zero

Reference za ovu knjigu

O autoru (1999)

Norman Steenrod was a professor of Mathematics at Princeton University and a member of the National Academy Of Sciences. He also edited Reviews in Topology.

Bibliografski podaci

NaslovThe Topology of Fibre Bundles
Opseg 27 iz Princeton Landmarks in Mathematics and Physics
Princeton Mathematical Series
Princeton paperbacks
AutorNorman Steenrod
Izdanjeponovljeni tisak, revidirano
IzdavačPrinceton University Press, 1999
ISBN0691005486, 9780691005485
DuljinaBroj stranica: 229
  
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