Uniformly discrete forests with poor visibility
نویسنده
چکیده
We prove that there is a set F in the plane so that the distance between any two points of F is at least 1, and for any positive < 1, and every line segment in the plane of length at least −1−o(1) there is a point of F within distance of the segment. This is tight up to the o(1) term in the exponent, improving earlier estimates of Peres, of Solomon and Weiss, and of Adiceam. Mathematics subject classification codes: 51F99, 52C99
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تاریخ انتشار 2016