Duke Mathematical Journal

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 37, Number 4

Publication Date: December 1970

On the largest prime divisors of ideals in fields of degree $n$

J. R. Gillett; 589-600

No semigroup on the two-cell with idempotent boundary

Edward N. Ferguson; 601-607

$H\sp{p}$ spaces and conformal mapping

Michael R. Cullen; 609-617

Non-homeomorphic approximations of manifolds with surfaces of bounded genus

R. J. Daverman; 619-625

Extending maps and dimension theory

B. R. Wenner; 627-631

Residue class characters

Robert Spira; 633-637

Extension of linear functionals on $F$-spaces with bases

Joel H. Shapiro; 639-645

Embedding a topological domain in a countably generated algebraic ring extension

John O. Kiltinen; 647-654

Manifolds admitting a non-homothetic conformal transformation

Samuel I. Goldberg and Kentaro Yano; 655-670

Connectivity maps and almost continuous functions

Hughes B. Hoyle, III; 671-680

Characterization of dimension in terms of the existence of a continuum

J. H. Roberts and F. G. Slaughter, Jr.; 681-688

Metric conditions for rational approximation

John Garnett; 689-699

Local peak sets of uniform algebras

William E. Meyers; 701-708

A simplified proof of Chebyshev’s theorem

Nina Spears; 709-713

A characterization of the extreme points of some convex sets of analytic functions

Hugh M. Hilden; 715-723

On the boundary correspondence under conformal mapping

J. E. McMillan; 725-739

On the smoothness of isometries

Eugenio Calabi and Philip Hartman; 741-750

Some results on contracted ideals

Robert Gilmer and Joe Mott; 751-767

Contracted ideals in Krull domains

Robert Gilmer; 769-774

Some remarks on convex maps of the unit disk

T. J. Suffridge; 775-777

Equivariant bordism and $(Z\sb{2})\sp{k}$ actions

R. E. Stong; 779-785

Errata: “Characterizations of semi-reflexivity and quasi-reflexivity,” vol. 36 (1969) pp. 73–80

R. J. Fleming; 787

Errata: “Expansions of solutions of certain hyperbolic and elliptic problems in terms of Jacobi polynomials,” vol. 36 (1969) pp. 129–144

L. R. Bragg and J. W. Dettman; 787

Errata: “Some metrical theorems in number theory II,” vol. 37 (1970), pp. 447–458

Walter Philipp; 788

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