[K1] N.H. Kuiper, On surfaces in Euclidean three-space,
Bull. Soc. Math. Belg. 12 (1960) 5-22.
This paper is the original work discussing tight surfaces. It gives
results for abstract surfaces with arbitrary metric, and deals
specifically with the case of immersions into three-space. It defines
top sets and gives some of their properties. It shows that tightness
is a projective property. The main theorem is that the Klein bottle
and the projective plane do not posses tight immersions into
three-space.
Bibliography
10/12/94 dpvc@geom.umn.edu --
The Geometry Center