Volume 128, Issue 2 – September 1988

## Bounding homotopy types by geometry

Pages 195-206 by Karsten Grove, Peter Petersen, V

## Nilpotence and stable homotopy theory I

Pages 207-241 by Ethan S. Devinatz, Michael J. Hopkins, Jeffrey H. Smith

## Sufficiency of condition $(\psi)$ for local solvability in two dimensions

Pages 243-258 by Nicolas Lerner

## Solution of the Littlewood-Offord problem in high dimensions

Pages 259-270 by Peter Frankl, Zoltán Füredi

## Pro-$\ell$ branched coveirngs of $\mathbf{P}^1$ and higher circular $\ell$-units

Pages 271-293 by Greg Anderson, Yasutaka Ihara

## On $p$-adic Hecke algebras for $\mathrm{GL}_2$ over totally real fields

Pages 295-384 by Haruzo Hida

## A sharp inequality of J. Moser for higher order derivatives

Pages 385-398 by David R. Adams

## Factorization theorems and the structure of operators on Hilbert space

Pages 399-413 by Hari Bercovici