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     Item: 
      Title: Carleson’s ε2 conjecture in higher dimensions
      Destination: invm1337.title.0:1
      Children: 
       Item: 
        Title: Abstract
        Destination: invm1337.section.0:2
       Item: 
        Title: Contents
        Destination: invm1337.section.0:3
       Item: 
        Title: Introduction
        Destination: invm1337.section.1:4
        Children: 
         Item: 
          Title: A new coefficient and the rectifiability result
          Destination: invm1337.subsection.1:8
         Item: 
          Title: A family of new coefficients, slicing and (true) tangents
          Destination: invm1337.subsection.2:15
         Item: 
          Title: A brief panorama on related literature
          Destination: invm1337.subsection.3:20
         Item: 
          Title: Some open questions
          Destination: invm1337.subsection.4:22
         Item: 
          Title: Structure of the article
          Destination: invm1337.subsection.5:25
       Item: 
        Title: Preliminaries
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        Children: 
         Item: 
          Title: Notation
          Destination: invm1337.subsection.1:27
         Item: 
          Title: Capacities and the CDC
          Destination: invm1337.subsection.2:28
         Item: 
          Title: The coefficients εs
          Destination: invm1337.subsection.3:32
       Item: 
        Title: Auxiliary coefficients
        Destination: invm1337.section.3:36
        Children: 
         Item: 
          Title: The symmetry coefficients
          Destination: invm1337.subsection.1:37
         Item: 
          Title: The smoothed coefficients
          Destination: invm1337.subsection.2:40
       Item: 
        Title: The three Main Lemmas and the proofs of Theorem A and Theorem B
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        Children: 
         Item: 
          Title: The first two main lemmas and the rectifiability of E
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           Item: 
            Title: Proof of Theorem A using the Main Lemmas I and II
            Destination: invm1337.subsubsection.1:49
         Item: 
          Title: Proof of Corollary 1.2
          Destination: invm1337.subsection.2:53
         Item: 
          Title: The third main lemma and existence of true tangents
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     Item: 
      Title: Part I. Weak geometric and topological results
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      Children: 
       Item: 
        Title: Existence of almost corkscrews
        Destination: invm1337.section.5:58
       Item: 
        Title: Weak flatness: finding an analytic variety
        Destination: invm1337.section.6:69
       Item: 
        Title: Weak flatness: the analytic variety contains a hyperplane
        Destination: invm1337.section.7:76
       Item: 
        Title: Weak flatness: the set E0 is flat
        Destination: invm1337.section.8:80
       Item: 
        Title: Propagation of smallness of the smooth square function
        Destination: invm1337.section.9:83
       Item: 
        Title: Domain splitting
        Destination: invm1337.section.10:86
     Item: 
      Title: Part II. Fourier analytic estimates and stopping time arguments
      Destination: invm1337.part.2:91
      Children: 
       Item: 
        Title: Sketch of the proof of the second main lemma
        Destination: invm1337.section.11:92
       Item: 
        Title: The smooth square function Aψ on Lipschitz graphs
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       Item: 
        Title: Construction of an approximate Lipschitz graph
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        Children: 
         Item: 
          Title: Whitney decomposition
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         Item: 
          Title: Extending A to L0
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         Item: 
          Title: The Lipschitz graph Γ and E0 are close to each other
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       Item: 
        Title: Small measure of LD and BA
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        Children: 
         Item: 
          Title: LD has small measure
          Destination: invm1337.subsection.1:121
         Item: 
          Title: BA has small measure
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         Item: 
          Title: Proof of the Main Lemma 11.1
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     Item: 
      Title: Part III. True tangents
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       Item: 
        Title: Spherical slicing with respect to points in a Lipschitz graph
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       Item: 
        Title: Weak flatness for F
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       Item: 
        Title: References
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       Item: 
        Title: Authors and Affiliations
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