Question

When moving from metric spaces to general topological spaces, these objects must be generalized to nets. The Borel-Cantelli (-5[1])lemma follows by constructing one of these objects containing events and then applying continuity of the measure. In general, compactness in the sense of a finite subcover for every open cover is independent of a type of compactness named for these objects. The (*) Cantor set is homeomorphic to the space of these objects over the discrete space {0, 1} (“zero comma one”), and Cantor’s diagonalization argument builds one of these (-5[1])objects out of countably many of them where the new one differs from each original in at least one place. If a is one of these objects, one might say “a sub n approaches x as n approaches infinity”. For 10 points, a collection of objects indexed by the natural numbers is referred to by what term that titles an example named for Fibonacci? ■END■ (10[2])

ANSWER: sequences [accept Fibonacci sequence; accept sequentially compact space; prompt on descriptions like function from the natural numbers or infinite lists before mentioned]
<RA, Other Science: Math>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Tim MorrisonStanford ABerkeley C17-5
Anuttam RamjiBerkeley BBerkeley A84-5
Swapnil GargBerkeley ABerkeley B14910
Aditya SivakumarBerkeley CStanford A14910

Summary

2023 ARCADIA at UC BerkeleyPremiereY2100%0%100%149.00
2023 ARCADIA at Carleton UniversityPremiereY3100%0%33%138.00
2023 ARCADIA at Claremont CollegesPremiereY1100%0%100%149.00
2023 ARCADIA at IndianaPremiereY5100%20%80%130.40
2023 ARCADIA at RITPremiereY2100%50%50%104.00
2023 ARCADIA at WUSTLPremiereY3100%0%67%149.00