Question
This mathematician’s namesake “triangle” is a domain of holomorphy for which small neighborhoods are not themselves a domain of holomorphy. For 10 points each:
[10h] Name this pioneer of several complex variables who proved a theorem on separate holomorphicity that is a strengthening of Osgood’s lemma.
ANSWER: Friedrich Hartogs [or Friedrich Moritz Hartogs; or Fritz Hartogs]
[10e] Hartogs names the extremely weak “pseudo-” form of this property. Sets with this property are closed under linear combinations with nonnegative coefficients that sum to one, and equal their namesake “hull.”
ANSWER: convexity
[10m] Pseudoconvexity permits a local version of this theorem, which fails in general for several complex variables due to the lack of a biholomorphic map between two generalizations of the open unit disc.
ANSWER: Riemann mapping theorem
<JC, Other Science (Math)>
Summary
| 2024 Chicago Open | 07/28/2024 | Y | 15 | 13.33 | 80% | 53% | 0% |
Data
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