De Groot dual: Difference between revisions
Content deleted Content added
No edit summary |
ndash; form for link to eponym |
||
| Line 1: | Line 1: | ||
In [[mathematics]], in particular in [[topology]], the '''de Groot dual''' of a topology ''τ'' on a [[set (mathematics)|set]] ''X'' is the topology ''τ''* whose [[closed sets]] are generated by [[compact]] [[saturated set|saturated]] [[ |
In [[mathematics]], in particular in [[topology]], the '''de Groot dual''' of a topology ''τ'' on a [[set (mathematics)|set]] ''X''<!--, named after [[?????? de Groot]], --> is the topology ''τ''* whose [[closed sets]] are generated by [[compact]] [[saturated set|saturated]] [[subset]]s of (''X'', ''τ''). |
||
== References == |
== References == |
||
* R. Kopperman (1995), Asymmetry and duality in topology. ''Topology Applications'', 66(1), 1 |
* R. Kopperman (1995), Asymmetry and duality in topology. ''Topology Applications'', 66(1), 1–39, 1995. |
||
<!--- Categories ---> |
<!--- Categories ---> |
||
Revision as of 04:58, 18 March 2010
In mathematics, in particular in topology, the de Groot dual 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.