De Groot dual

From HandWiki
Revision as of 12:23, 1 August 2022 by imported>Wincert (change)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In mathematics, in particular in topology, the de Groot dual (after Johannes de Groot) of a topology τ on a set X is the topology τ* whose closed sets are generated by compact saturated subsets of (X, τ).

References

  • R. Kopperman (1995), Asymmetry and duality in topology. Topology Applications, 66(1), 1–39, 1995.