[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.
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