1997 (Publication #81)

Tight Submanifolds, Smooth and Polyhedral (with Wolfgang Kuhnel)

Eds. S.-S.Chern and T. Cecil, Cambridge University Press (1997) 51-118.

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ABSTRACT

An immersion f of a surface M into space has the two-piece property if the pre-image (by f ) of every open half-space is connected in M. In other words, a surface has the two-piece property if every plane cuts it into at most two parts.