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- Q1543600 subject Q8911701.
- Q1543600 abstract "In mathematics, the lower limit topology or right half-open interval topology is a topology defined on the set R of real numbers; it is different from the standard topology on R (generated by the open intervals) and has a number of interesting properties. It is the topology generated by the basis of all half-open intervals [a,b), where a and b are real numbers.The resulting topological space, sometimes written Rl and called the Sorgenfrey line after Robert Sorgenfrey, often serves as a useful counterexample in general topology, like the Cantor set and the long line. The product of Rl with itself is also a useful counterexample, known as the Sorgenfrey plane.In complete analogy, one can also define the upper limit topology, or left half-open interval topology.".
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- Q1543600 comment "In mathematics, the lower limit topology or right half-open interval topology is a topology defined on the set R of real numbers; it is different from the standard topology on R (generated by the open intervals) and has a number of interesting properties.".
- Q1543600 label "Lower limit topology".