Subsets of rectifiable curves in Banach spaces: sharp exponents in traveling salesman theorems

27 Feb 2020 Matthew Badger Sean McCurdy

The Analyst's Traveling Salesman Problem is to find a characterization of subsets of rectifiable curves in a metric space. This problem was introduced and solved in the plane by Jones in 1990 and subsequently solved in higher-dimensional Euclidean spaces by Okikiolu in 1992 and in the infinite-dimensional Hilbert space $\ell_2$ by Schul in 2007... (read more)

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Categories


  • CLASSICAL ANALYSIS AND ODES
  • FUNCTIONAL ANALYSIS
  • METRIC GEOMETRY
  • PRIMARY 28A75, SECONDARY 26A16, 28A80, 46B20, 65D10