New York City Category Theory Seminar
Something Old, Something New, Something Borrowed, ...
Next F.E.J. Linton • Wesleyan Univ. Math/CS Emeritus

double cover with one broken-V nbhd   Take two copies of the upper half-plane, topologized by ... taking as basic open neighborhoods of points on either x-axis the symmetric “broken open Vs”, with fingers of equal length, but with left finger in the same half-plane as the point on the x-axis, and right finger in the other half-plane (omitting the corresponding point on that other x-axis).