Scared 2 be lonely beat（当真爱降临）

Tichi, C (1994) High Lonesome: The American Culture of Country Music, Chapel Hill (USA): University of North Carolina Press 

Given a lattice L in Z^m and a subset A of R^m, we say that a point in A is lonely if it is not equivalent modulo L to another point of A. We are interested in identifying lonely points for specific choices of L when A is a dilated standard simplex, and in conditions on L which ensure that the number of lonely points is unbounded as the simplex dilation goes to infinity.

Inspired by the work of J. van Mill we define a new topological type --- lonely points. We show that the question of whether these points exist in $ω^*$ is equivalent to finding a countable OHI, extremally disconnected, zerodimensional space with a remote weak P-point. We also present methods which allow us to find lonely points in a large subspace of $ω^*$ and show why known methods do not allow us to construct them in all of $ω^*$.