TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

By DANIEL TAYLOR

CONTENTS GEOMETRY IN CURVATURE THEORY TIGHT SUBMANIFOLDS, SMOOTH AND POLYHEDRAL TIGHTNESS FOR SMOOTH AND POLYHEDRAL IMMERSIONS OF THE PROJECTIVE PLANE WITH ONE HANDLE TAUT AND DUPIN SUBMANIFOLDS TAUT IMMERSIONS INTO COMPLETE RIEMANNIAN MANIFOLDS NULL-HOMOTOPIC EMBEDDED SPHERES OF CODIMENSION ONE REAL HYPERSURFACES IN COMPLEX SPACE FORMS