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Packet C: Bonus 14

Spaces with this property are conceptually the topological analogue of a finite set in set theory. For 10 points each:
[10m] Name this ubiquitously discussed property in analysis and topology held by subsets of Rn (“R-N”) that are closed and bounded.
ANSWER: compactness [or compact spaces or compact sets]
[10h] This theorem states that an equicontinuous and bounded real-valued function on a compact set converges uniformly. It is often proven by taking a countable dense subset of a space, then using the Bolzano–Weierstrass theorem, then diagonalizing to construct a convergent subsequence.
ANSWER: Arzela–Ascoli theorem [or Ascoli–Arzela theorem]
[10e] Uniform convergence holds if the difference between terms becomes arbitrarily small for some N that depends only on a quantity denoted by this letter. Continuity and convergence are formalized by a definition named for this letter and delta.
ANSWER: epsilon [or epsilon–delta definition]
<UBC A, Other Science> | Packet C - Virginia Tech A, Waterloo A, UCSD A, UBC A

HeardPPBE %M %H %
7115.0780%56%14%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Cornell ABinghamton B001010E
Cornell BRIT1001020ME
Cornell CBinghamton A1001020ME
Penn StateRochester1001020ME

Summary

TournamentEditionMatchHeardPPBE %M %H %
California (North)Main Site✓326.67100%100%67%
CanadaMain Site✓1010.0060%30%10%
FloridaMain Site✓313.3367%67%0%
Great LakesMain Site✓510.0080%20%0%
MidwestMain Site✓816.2575%75%13%
NortheastMain Site✓516.0080%60%20%
OverflowMain Site✓412.50100%25%0%
South CentralMain Site✓210.0050%50%0%
SoutheastMain Site✓712.8686%29%14%
UKMain Site✓1220.0092%83%25%
Upper Mid-AtlanticMain Site✓815.0075%63%13%
Upstate NYMain Site✓417.50100%75%0%