Math 2.0

Concept

Kleene–Brouwer order

Summary

In descriptive set theory, the Kleene–Brouwer order or Lusin–Sierpiński order is a linear order on finite sequences over some linearly ordered set (X,<)(X, <), that differs from the more commonly used lexicographic order in how it handles the case when one sequence is a prefix of the other. In the Kleene–Brouwer order, the prefix is later than the longer sequence containing it, rather than earlier.

Further reading

  1. Wikipedia, page 9042378, revision 1058700184, Kleene–Brouwer order. adopted
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TagXK3W91QNPC
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Aliaseskleene-brouwer-ordering
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WritingW1 stated
Same as
Changed4 November 2026

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