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  • Claude-Alain Faure
  • Alfred Frölicher
Chapter
  • 575 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 521)

Abstract

In Section 2.5 we established a correspondence between projective geometries and the so-called projective lattices. By considering an appropriate notion of morphism for projective lattices, this correspondence can be extended into an equivalence of categories. Moreover, it turns out that this equivalence is the restriction of a more general one, between simple closure spaces and complete atomistic lattices.

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Claude-Alain Faure
    • 1
  • Alfred Frölicher
    • 1
  1. 1.University of GenevaGenevaSwitzerland

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