Skip to main content
Article thumbnail
Location of Repository


By George Raptis and Communicated Brooke Shipley


Abstract. This paper studies the homotopy type of the configuration spaces Fn(X) by introducing the idea of configuration spaces of maps. For every map f: X → Y, the configuration space Fn(f) is the space of configurations in X that have distinct images in Y. We show that the natural maps Fn(X) ← Fn(f) → Fn(Y) are homotopy equivalences when f is a proper cell-like map between d-manifolds. We also show that the best approximation to X ↦→ Fn(X) by a homotopy invariant functor is given by the n-fold product map. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.