Points in one of these sets are assigned “addresses” and belong to “laps” depending on a function from one of these sets to itself in Milnor–Thurston kneading theory. Being separable and metrizable (10[1])is equivalent to being a subspace of a product named for David Hilbert that is formed from infinitely many of these sets. (-5[1])Any function (10[1])that is a derivative sends all of these sets to one of these sets, per Darboux’s (“dar-BOO’s”) theorem. (-5[2])The axiom of (10[1])completeness is implied by a property named for “nested” examples of these sets. (10[1]-5[1])The intermediate value theorem means (10[1])that, (-5[1])under a continuous function, the image of one of these (10[1])sets (10[1])is also one of these sets. (-5[1])These sets comprise the compact connected subsets of the reals and are denoted by two numbers between square brackets. (10[4]-5[1])For 10 (10[1])points, what sets of numbers (10[1])between a lower and upper limit include those limits? ■END■ (10[3]0[3])