Olympiad Euclidean Geometry
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Problems 3
- Can you cover the real plane, R2\mathbb{R}^2R2, using a disjoint set of topological T's? \\ [Source: Communicated by Mark Sellke, and separately by David (Ting-Chun) Lin, who he…
- Let f :R2→Rf\colon \mathbb{R}^2\to \mathbb{R}f:R2→R be smooth, with (0,0)(0,0)(0,0) a local minimum and the unique critical point of fff. Need it be a global minimum? \\ [Sourc…
- Can you cover the real plane, R2\mathbb{R}^2R2, using a disjoint set of topological O's? \\ [Source: Classical?]