Transactions of the AMS. Year 1969. Volume 141. Number 00.


Decidability of second-order theories and automata on infinite trees.
Michael O. Rabin
1-35


A recursion-theoretic characterization of the ramified analytical hierarchy
Richard Boyd; Gustav Hensel; Hilary Putnam
37-62


Aligning functions defined on Cantor sets
Jo Ford; E. S. Thomas
63-69


$m$-bounded uniformities between two given uniformities
Ellen E. Reed; W. J. Thron
71-77


Approximation by rational and meromorphic functions having a bounded number of free poles
E. B. Saff
79-92


On the distribution of elements belonging to certain subgroups of algebraic numbers
Carole Sirovich
93-98


Endomorphism rings generated by units
Paul Hill
99-105


Boundary functions and sets of curvilinear convergence for continuous functions
T. J. Kaczynski
107-125


Sets of uniqueness for the vibrating string problem
Victor L. Shapiro
127-146


Entire functions with prescribed values at discrete point sets
L. D. Neidleman
147-157


Abstract evolution equations
Jerome A. Goldstein
159-185


A uniqueness theorem for Haar and Walsh series
William R. Wade
187-194


On theta functions and Weil's generalized Poisson summation formula.
Jun-ichi Hano
195-210


Extensions of group representations over nonalgebraically closed fields
I. M. Isaacs
211-228


Some theorems on hopficity
R. Hirshon
229-244


Infinite primes and unique factorization in a principal right ideal domain
Raymond A. Beauregard
245-253


Properties of $H\sp{p}$ $(0<p<1)$ and its continuing Banach space
P. L. Duren; A. L. Shields
255-262


Free surfaces in $S\sp{3}$
John Hempel
263-270


The folded ribbon theorem. A contribution to the study of immersed circles
George K. Francis
271-303


The approximation of one-one measurable transformations by diffeomorphisms
H. E. White
305-322


On the Frattini subgroup
Alice Whittemore
323-333


Generalized cohomology operations and $H$-spaces of low rank
J. R. Hubbuck
335-360


Absolute gap-sheaves and extensions of coherent analytic sheaves
Yum-tong Siu
361-376


A commutative local ring with finite global dimension and zero divisors
B. L. Osofsky
377-385


A new notion of semicharacters
Dennison R. Brown; Michael Friedberg
387-401


On inflation-restriction exact sequences in group and Amitsur cohomology
A. J. Berkson; Alan McConnell
403-413


A class of integer valued entire functions
Afton H. Cayford
415-432


Decompositions into compact sets with $UV$ properties
Steve Armentrout; Thomas M. Price
433-442


Some more results on rates of convergence in the law of large numbers for weighted sums of independent random variables
D. L. Hanson; F. T. Wright
443-464


Vector cross products on manifolds
Alfred Gray
465-504


Extensions of abstract valued set functions
James E. Huneycutt
505-513


The Stone space of the saturated Boolean algebras
S. Negrepontis
515-527