4 problems
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Interior-point reconstructibility conjecture for closed subsets of Euclidean space
Interior-point reconstructibility conjecture. Then is -reconstrucitble.
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Necessary bitangency condition for full-dimensional medial-axis components
Let be a codimension-one variety and let be its stratification with respect to a given polyhedral norm, assuming that this stratification exists.…
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Erdős's dimension conjecture for the k-medial axis
Let be a closed subset of , and for let be the set of points of closest to . For , let be the set of points…
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Degree formula for the algebraic medial axis of a general plane curve
Degree formula conjecture. The degree of the algebraic medial axis is