CONTENTS.-Foreword by S. S. Caerns.- On the smoothings of angilated and combinatorial manifolds, by N. H. Kuiper.- On the action of (on) by W. Browder .- Critical submanifolds of the classical groups and Stiefe l manifolds, by T. Frankel.- Remarks concerning spin manifolds by S. Sm ale.- Bowls of a non- degenerate function on a compact differentiable m anifold, by M. Morse.- On higher dimensional konts, by M. A. Kervaire.- On the groups J (X) by J. F. Adams.- Morse theiry, by Mazur.- The inde x theorem for homogeneous differential operators, by R. Bott.- Miniomal surface in an Euclidean space pf N dimensions, by S. S. Chern .- On ho motopy spheres of low dimensions, by M. W. Hirsch.- Local properties of analyti varieties, by H. Whitley. On infinte processes leading to diff erentiability in the complemnt of a point, by J. R. Stallings.- Sur 1'h omologie des varietes algebriques reelles, by R. Thom.

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