Intrinsic transversality structures.

@article{Levitt1987IntrinsicTS,
  title={Intrinsic transversality structures.},
  author={N. Levitt and A. Ranicki},
  journal={Pacific Journal of Mathematics},
  year={1987},
  volume={129},
  pages={85-144}
}
This paper introduces the notion of an intrinsic transversality structure on a Poincare duality space X". Such a space has an intrinsic transversality structure if the embedding of X" into its regular neighborhood W in Euclidean space can be made "Poincare transverse" to a triangulation of W. This notion relates to earlier work concerning transversality structures on spherical fibrations, which are known to be essentially equivalent to topological bundle reductions. Thus, for n > 5, a Poincare… Expand
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