Transactions of the AMS. Year 1965. Volume 114. Number 01.

Retractions and other continuous maps from $\beta X$ onto $\beta X_X$
W. W. Comfort
1-9

Abstract: Our two main theorems are stated below. The first is proved with the aid of the continuum hypothesis. Theorem 2.6. [CH] Suppose that there is a retraction from $ \beta X$ onto $\beta X\backslash X$. Then X is locally compact and pseudocompact. Theorem 4.2. Let D be a discrete space whose cardinal number m exceeds 1. In order that there exist a continuous function from $\beta D$ onto $\beta D\backslash D$, it is necessary and sufficient that $\mathfrak{m} = {\mathfrak{m}^{\aleph _0}}$. The proof of Theorem 2.6 rests on a result of Walter Rudin concerning P-points (see 1(d) and 1(e) below); Theorem 4.2 depends on the following simple result, which appears to be new. Theorem 4.1. Let D be the discrete space with cardinal number $ \mathfrak{m} (\geqq{\aleph _0})$. The smallest cardinal number which is the cardinal number of some dense subset of $\beta D\backslash D$ is ${\mathfrak{m}^{\aleph _0}}$.

Cellular subsets of the $3$-sphere
D. G. Stewart
10-22

On a theorem concerning existence of interpolating functions
Richard F. DeMar
23-29

Geometry of the zeros of the sums of linear fractions
J. L. Walsh
30-39

Multiplication rings as rings in which ideals with prime radical are primary
Robert W. Gilmer; Joe Leonard Mott
40-52

On Noetherian prime rings
Carl Faith; Yuzo Utumi
53-60

Orders in simple artinian rings
Carl Faith
61-64

Limits of polynomials whose zeros lie in a radial set
J. E. Lange; J. Korevaar
65-79

Characterizations of tame surfaces in $E\sp{3}$
C. E. Burgess
80-97

Measures and tensors
Jesús Gil de Lamadrid
98-121

On algebras with a finite number of indecomposable modules
C. W. Curtis; J. P. Jans
122-132

Spectral sequences and Frobenius groups
Ernst Snapper
133-146

A difference property for polynomials and exponential polynomials on abelian locally compact groups
F. W. Carroll
147-155