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Steven Krantz remarked that it was once said that “anyone who could survive a year of” a topology-infused book by this author “was a real mathematician.” For 10 points each:
[10h] What mathematician’s notoriously concise textbook Principles of Mathematical Analysis is sometimes nicknamed for him and the word “baby”?
ANSWER: Walter Rudin [accept “Baby Rudin”]
[10e] In the textbook’s proofs, Rudin sometimes neglects the case of the metric space over this set. Only one possible topology can be defined on this set, which is denoted by an “O” with a slash through it.
ANSWER: empty set [accept empty space; accept null set]
[10m] Walter Rudin’s wife Mary Ellen Rudin gave a short proof that all metric spaces have the “para-” variant of this property. Procedures named for imparting this property include ones called “Stone–Čech” (“stone check”) and “one-point.”
ANSWER: compact space [or compactness; accept compactification or Stone–Čech compactification or one-point compactification; accept paracompact space or paracompactness]
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Summary

2024 ACF Nationals2024-04-21Y1420.71100%64%43%

Data

RutgersArizona State010010
BrownMichigan010010
North Carolina AChicago B10101030
Cornell APurdue0101020
VanderbiltCornell B010010
IllinoisToronto A10101030
IndianaColumbia A10101030
Berkeley AMaryland10101030
Iowa StateNYU0101020
Yale ANorthwestern010010
Chicago AStanford10101030
WUSTL ATexas0101020
WaterlooMinnesota A10101030
Yale BColumbia B010010