Homotopy Theory of Classifying Spaces of Compact Lie Groups

  title={Homotopy Theory of Classifying Spaces of Compact Lie Groups},
  author={S A Jackowski and James McClure and Bob Oliver},
The basic problem of homotopy theory is to classify spaces and maps between spaces, up to homotopy, by means of invariants like cohomology. In the last decade some striking progress has been made with this problem when the spaces involved are classifying spaces of compact Lie groups. For example, it has been shown, for G connected and simple, that if two self maps of BG agree in rational cohomology then they are homotopic. It has also been shown that if a space X has the same mod p cohomology… CONTINUE READING
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