Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 40, Number 3

#### Publication Date: September 1973

Homogeneity by isotopy for simple closed curves

Arnold C. Shilepsky; 463-472

Ring topologies on the quotient field of a Dedekind domain

J. Heine and Seth Warner; 473-486

Basic intervals and related sublattices of the lattice of topologies

Richard Valent; 487-492

Weighted sequences of nonnegative integers

M. J. Hodel; 493-510

Partially ordered sets associated with Fibonacci representations

L. Carlitz and Richard Scoville; 511-524

On the $q$-analog of Kummer’s theorem and applications

George E. Andrews; 525-528

On strong extreme points in $H\sp{p}$

J. A. Cima and James Thomson; 529-532

Representability of binary quadratic forms over a Bézout domain

Philip A. Leonard and Kenneth S. Williams; 533-539

On $\Lambda \sb{1}(\alpha)$-nuclearity

William Robinson; 541-546

On the distortion of sets on a Jordan curve under conformal mapping

Lennart Carleson; 547-559

Reducing essential eigenvalues

Norberto Salinas; 561-580

A general Poisson limit theorem of probability theory

Jànos Galambos; 581-586

Abelian subsemigroups, enumeration, and universal matrices

Kim Ki-Hang Butler and James Richard Krabill; 587-598

Compression and expansion of boundary sets

John E. McMillan and George Piranian; 599-605

Linear homogeneous Diophantine equations and magic labelings of graphs

Richard P. Stanley; 607-632

Berry-Esseen bounds and a theorem of Erdös and Turàn on uniform distribution $\mod 1$

H. Niederreiter and Walter Philipp; 633-649

Some localizations of the spectral mapping theorem

Robert G. Bartle and Constantine A. Kariotis; 651-660

A cohomological criterion for real boundary points

Clark McGranery; 661-667

On pairs of functions and related classes

Dov Aharonov; 669-676

Concerning first countable spaces, II

G. M. Reed; 677-682

Strictly cyclic operators

Richard Bolstein; 683-688

On Mackey’s tensor product theorem

Robert A. Fakler; 689-694

On the distributions of conjugate functions of nonnegative measures

Burgess Davis; 695-700

Matrix fields over $GF(q)$

Michael Willett; 701-704

Open mappings on manifolds and a counterexample to the Whyburn conjecture

David Wilson; 705-716