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onderable
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There are 9 letters in ONDERABLE ( A1B3D2E1L1N1O1R1 )
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Onderable might refer to |
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In mathematics, an Order topology is a certain topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets. * If X is a totally ordered set, the order topology on X is generated by the subbase of "open rays"* * * * ( * a * , * ∞ * ) * = * { * x * ∣ * a * < * x * } * * * {\displaystyle (a,\infty )=\{x\mid a * * * * * ( * − * ∞ * , * b * ) * = * { * x * ∣ * x * < * b * } * * * {\displaystyle (-\infty ,b)=\{x\mid x* for all a,b in X. This is equivalent to saying that the open intervals * * * * * ( * a * , * b * ) * = * { * x * ∣ * a * < * x * < * b * } * * * {\displaystyle (a,b)=\{x\mid a * A topological space X is called orderable if there exists a total order on its elements such that the order topology induced by that order and the given topology on X coincide. The order topology makes X into a completely normal Hausdorff space. * The standard topologies on R, Q, Z, and N are the order topologies. |