Lecture Notes on Fibre Bundles |
Contents
FIBRE BUNDLES | 33 |
for Homogeneous Spaces | 68 |
COVERING HOMOTOPY THEOREMS AND UNIVERSAL | 92 |
3 other sections not shown
Common terms and phrases
1817 LIBRARIES algebra arcwise connected B X I bundle with fibre bundle with group C. W. complex chain complexes CHIGAN closed subgroup commutative diagram compact Hausdorff space compact open topology continuous map coordinate transformations covering homotopy covering homotopy theorem defined Definition denote DGR modules dimensional Eilenberg-MacLane space equivalence classes equivalence relation fibre bundles fibre F finite follows G-bundle graded R-module group G H restricted homeomorphism homotopy theorem isomorphism last n-k Lemma Let f locally compact locally compact Hausdorff locally connected map f map H map of bundles map of coordinate matrix MICHIG MICHIGAN MICHIGAN n-cells n+k,k normal cell open covering principal bundle product bundle Proof pullback quaternions quotient space R-module relative homeomorphism set of equivalence subcomplex subgroup of G subspace system of coordinate t₁ topological group trivial bundle U₁ vector