A Splitting Theorem for Manifolds with Involution and Two Applications

  title={A Splitting Theorem for Manifolds with Involution and Two Applications},
  author={Reinhard Schultz}
Substantial results on both questions were obtained during the nineteen sixties, and further work was done during the following decade. For example, if in the first question we assume that all manifolds under consideration are simply connected and of sufficiently high dimension, then a splitting of the prescribed type always exists (compare [24], page 133). In fact, stronger results can also be proved if the fundamental groups of A, B, C are interrelated in a suitable manner (compare Wall [24… CONTINUE READING

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