Question

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])

ANSWER: closed intervals [accept closed unit interval; prompt on unit intervals or closed sets; prompt on connected sets until “connected” is read; prompt on compact sets until “compact” is read]
<Other Science>
= Average correct buzz position

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Summary

2024 ACF Nationals2024-04-21Y2080%0%35%111.31

Buzzes

PlayerTeamOpponentBuzz PositionValue
Rasheeq AzadNorth Carolina BBerkeley A3110
Tim MorrisonStanfordNorthwestern53-5
David BassJohns HopkinsNYU5510
Geoffrey WuColumbia AClaremont Colleges72-5
Jeremy CummingsWUSTL BYale A72-5
Isaac MammelMarylandPenn7510
Asha BasuMcGillBrown8810
Jonathan ShaufNorth Carolina AVirginia88-5
James StevensonMichiganColumbia B9310
Chinmay MurthyTexasCornell B94-5
Alex AkridgeIndianaFlorida10410
Kunaal ChandrashekarToronto AKentucky10510
Joy AnHarvardRutgers111-5
Shardul RaoMinnesota AChicago C13010
Richard NiuCornell AToronto B13010
Urbas EkkaMinnesota BDuke13010
Fred GarveyTruman StatePurdue130-5
Adam FineChicago ASouth Carolina13010
Michael HundingIllinoisOttawa13210
Mark TawfikRutgersHarvard13710
Akshay SeetharamClaremont CollegesColumbia A14710
Nikhil ChellamNorthwesternStanford14710
Eylon CaplanPurdueTruman State14710
Lydia TarekegnYale BVanderbilt1470
Aidan FeinVanderbiltYale B1470
Matthew SiffYale AWUSTL B1470