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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© 2000 Springer Science+Business Media Dordrecht
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Faure, CA., Frölicher, A. (2000). Related Categories. In: Modern Projective Geometry. Mathematics and Its Applications, vol 521. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9590-2_12
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DOI: https://doi.org/10.1007/978-94-015-9590-2_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5544-6
Online ISBN: 978-94-015-9590-2
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