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- W3136755661 abstract "Let A be a compact set in R $mathbb {R}$ , and E = A d ⊂ R d $E=A^dsubset mathbb {R}^d$ . We know from the Mattila–Sjölin's theorem if dim H ( A ) > d + 1 2 d $dim _H(A)>frac{d+1}{2d}$ , then the distance set Δ ( E ) $Delta (E)$ has non-empty interior. In this paper, we show that the threshold d + 1 2 d $frac{d+1}{2d}$ can be improved whenever d ⩾ 5 $dgeqslant 5$ ." @default.
- W3136755661 created "2021-03-29" @default.
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- W3136755661 date "2022-09-14" @default.
- W3136755661 modified "2023-10-02" @default.
- W3136755661 title "On the Mattila–Sjölin distance theorem for product sets" @default.
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- W3136755661 doi "https://doi.org/10.1112/mtk.12165" @default.
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