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

Two triangles Begin with two triangles.

Topology as usual except for the southernmost vertices, whose smallish basic neighborhoods are “broken Vs” ...
single triangle
... and that’s the connected double cover of a single triangle, well known to admit no continuous global section.

Key proof ingredient — connectedness.