## Contents of Volume 309, Number 2

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- Ideals associated to deformations of singular plane curves
- Steven Diaz and Joe Harris PDF
- Trans. Amer. Math. Soc.
**309**(1988), 433-468

- Definable sets in ordered structures. III
- Anand Pillay and Charles Steinhorn PDF
- Trans. Amer. Math. Soc.
**309**(1988), 469-476

- Positive quadratic differential forms and foliations with singularities on surfaces
- Víctor Guíñez PDF
- Trans. Amer. Math. Soc.
**309**(1988), 477-502

- $v_ 1$-periodic $\textrm {Ext}$ over the Steenrod algebra
- Donald M. Davis and Mark Mahowald PDF
- Trans. Amer. Math. Soc.
**309**(1988), 503-516

- Mixed norm estimates for certain means
- Lennart Börjeson PDF
- Trans. Amer. Math. Soc.
**309**(1988), 517-541

- The minimal model of the complement of an arrangement of hyperplanes
- Michael Falk PDF
- Trans. Amer. Math. Soc.
**309**(1988), 543-556

- Bounds on the $L^ 2$ spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality
- Gregory F. Lawler and Alan D. Sokal PDF
- Trans. Amer. Math. Soc.
**309**(1988), 557-580

- Trace identities and $\bf {Z}/2\bf {Z}$-graded invariants
- Allan Berele PDF
- Trans. Amer. Math. Soc.
**309**(1988), 581-589

- On the nonlinear eigenvalue problem $\Delta u+\lambda e^ u=0$
- Takashi Suzuki and Ken’ichi Nagasaki PDF
- Trans. Amer. Math. Soc.
**309**(1988), 591-608

- Locally bounded sets of holomorphic mappings
- José Bonet, Pablo Galindo, Domingo García and Manuel Maestre PDF
- Trans. Amer. Math. Soc.
**309**(1988), 609-620

- Stochastic perturbations to conservative dynamical systems on the plane. I. Convergence of invariant distributions
- G. Wolansky PDF
- Trans. Amer. Math. Soc.
**309**(1988), 621-639

- Stochastic perturbations to conservative dynamical systems on the plane. II. Recurrency conditions
- G. Wolansky PDF
- Trans. Amer. Math. Soc.
**309**(1988), 641-657

- A canonical subspace of $H^ *(B\textrm {O})$ and its application to bordism
- Errol Pomerance PDF
- Trans. Amer. Math. Soc.
**309**(1988), 659-670

- A Stone-type representation theorem for algebras of relations of higher rank
- H. Andréka and R. J. Thompson PDF
- Trans. Amer. Math. Soc.
**309**(1988), 671-682

- Translates of exponential box splines and their related spaces
- Asher Ben-Artzi and Amos Ron PDF
- Trans. Amer. Math. Soc.
**309**(1988), 683-710

- Algebras on the disk and doubly commuting multiplication operators
- Sheldon Axler and Pamela Gorkin PDF
- Trans. Amer. Math. Soc.
**309**(1988), 711-723

- Field theories in the modern calculus of variations
- Andrzej Nowakowski PDF
- Trans. Amer. Math. Soc.
**309**(1988), 725-752

- Volumes of small balls on open manifolds: lower bounds and examples
- Christopher B. Croke and Hermann Karcher PDF
- Trans. Amer. Math. Soc.
**309**(1988), 753-762

- Regularity of weak solutions of parabolic variational inequalities
- William P. Ziemer PDF
- Trans. Amer. Math. Soc.
**309**(1988), 763-786

- The box product of countably many copies of the rationals is consistently paracompact
- L. Brian Lawrence PDF
- Trans. Amer. Math. Soc.
**309**(1988), 787-796

- Fast algorithms for multiple evaluations of the Riemann zeta function
- A. M. Odlyzko and A. Schönhage PDF
- Trans. Amer. Math. Soc.
**309**(1988), 797-809

- Hausdorff dimension in graph directed constructions
- R. Daniel Mauldin and S. C. Williams PDF
- Trans. Amer. Math. Soc.
**309**(1988), 811-829

- On classical Clifford theory
- Morton E. Harris PDF
- Trans. Amer. Math. Soc.
**309**(1988), 831-842

- Seifert matrices and $6$-knots
- J. A. Hillman and C. Kearton PDF
- Trans. Amer. Math. Soc.
**309**(1988), 843-855

- Correction to: “Differential identities in prime rings with involution” [Trans. Amer. Math. Soc.
**291**(1985), no. 2, 765–787; MR0800262 (87f:16013)] - Charles Lanski PDF
- Trans. Amer. Math. Soc.
**309**(1988), 857-859