Let $A:=\{d^{-1}+kd:0<d<1,k=0,1,2,\dots,\}$. Does the set $A$ have any real limit points?
The motivation for my question is that I would like to find a closed set of 0 Hausdorff dimension that contains an arithmetic progression of EVERY gap $0<d<1$.
2026-04-23 21:27:09.1776979629
Limit Point of the Following Set
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