Volume 89, Issue 1, January 1969

## Locally flat imbeddings of topological manifolds

Pages 1-13 by J. Alexander Lees

## Moduli of vector bundles on a compact Riemann surface

Pages 14-51 by Mudumbai S. Narasimhan, Sundararaman Ramanan

## The degree of symmetry of homotopy spheres

Pages 52-67 by Wu-Chung Hsiang, Wu-Yi Hsiang

## Closed geodesics

Pages 68-81 by Wilhelm Klingenberg

## Kähler differentials and differential algebra

Pages 92-98 by Joseph Johnson

## Local representation of Galois groups

Pages 99-124 by Goro Shimura

## On equivariant maps between spheres with involutions

Pages 125-137 by Peter S. Landweber

## A basis theorem for $\Sigma_3^1$ sets of reals

Pages 138-159 by Donald A. Martin, Robert M. Solovay

## Affine open subsets of algebraic varieties and ample divisors

Pages 160-183 by Jacob Eli Goodman

## On modular forms with associated Dirichlet series

Pages 184-186 by Andrew P. Ogg

## Local rigidity theorems for minimal hypersurfaces

Pages 187-197 by H. Blaine Lawson, Jr.

## On $p$-adic $L$-functions

Pages 198-205 by Kenkichi Iwasawa

## Correction to “Structure of inseparable extensions”

Pages 206-207 by Moss Eisenberg Sweedler