Actually DeepSeek did not QUITE have a clear definition of orderable topological space, it should use a sub-basis of open left and open right rays, and NOT this: DeepSeek. The order topology is generated by the basis of open intervals (a,b)={x∈X∣a<x<b}(a,b)={x∈X∣a<x<b}. - ThreadSky

Actually DeepSeek did not QUITE have a clear definition of orderable topological space, it should use a sub-basis of open left and open right rays, and NOT this:

DeepSeek. The order topology is generated by the basis of open intervals (a,b)={x∈X∣a

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