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Notes
1 ‘Hat‐Tricks and Heaps’, International Journal of Philosophical Studies, 33 (1992), pp. 1–24.
2 Section 7 in chapter 2 of Robin Hartshorne’s Geometry: Euclid and Beyond (New York, Berlin, and Heidelberg: Springer, 2000) is an excellent discussion of how a surface splits a space.
3 To see this in stages, note that two of the spheres intersect in a circle, which intersects the remaining sphere in two points, one in the up side.
4 I am grateful to Walter Edelberg, Craig Fox, and the referee for comments on this note.
