Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 77, Number 6
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Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 77, Number 6 (1971): PDF; Bull. Amer. Math. Soc. 77 (1971)

Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 77, Number 6 (1971): PDF; Bull. Amer. Math. Soc. 77 (1971)

Finite simple groups of low 2-rank and the families $G_2 \left ( q \right ), D_4^2 \left ( q \right ), q$ odd: Daniel Gorenstein and Koichiro Harada PDF; Bull. Amer. Math. Soc. 77 (1971), 829-862

Ergodic theory and the geodesic flow on surfaces of constant negative curvature: Eberhard Hopf PDF; Bull. Amer. Math. Soc. 77 (1971), 863-877

Some new results in the Kolmogorov-Sinai theory of entropy and ergodic theory: Donald S. Ornstein PDF; Bull. Amer. Math. Soc. 77 (1971), 878-890

The functional-differential equation $y’\left ( x \right ) = ay\left ( {\lambda x} \right ) + by\left ( x \right )$: Tosio Kate and J. B. McLeod PDF; Bull. Amer. Math. Soc. 77 (1971), 891-937

Causally oriented manifolds and groups: Irving Segal PDF; Bull. Amer. Math. Soc. 77 (1971), 958-959

Orders in semilocal rings: Carl Faith PDF; Bull. Amer. Math. Soc. 77 (1971), 960-962

Fourier transforms of the beurling classes $\mathfrak {D}_\omega , \varepsilon ’_\omega$: C. A. Berenstein and M. A. Dostal PDF; Bull. Amer. Math. Soc. 77 (1971), 963-967

Bessel potentials. Inclusion relations among classes of exceptional sets: David R. Adams and Norman G. Meyers PDF; Bull. Amer. Math. Soc. 77 (1971), 968-970

Pfister forms and $K$-theory of fields: Richard Elman and T. Y. Lam PDF; Bull. Amer. Math. Soc. 77 (1971), 971-974

Convenient categories of topological algebras: Eduardo J. Dubuc and Horacio Porta PDF; Bull. Amer. Math. Soc. 77 (1971), 975-979

An extension of Khintchine’s estimate for large deviations to a class of Markov chains converging to a singular diffusion: H. Brezis, W. Rosenkrantz and B. Singer PDF; Bull. Amer. Math. Soc. 77 (1971), 980-982

Primitive subalgebras of exceptional Lie algebras: Martin Golubitsky and Bruce Rothschild PDF; Bull. Amer. Math. Soc. 77 (1971), 983-986

Invariants for semifree $S^1$-actions: Katsuo Kawakubo PDF; Bull. Amer. Math. Soc. 77 (1971), 987-991

Automorphisms of a free associative algebra of rank 2: Anastasia Czerniakiewicz PDF; Bull. Amer. Math. Soc. 77 (1971), 992-994

On the existence of specified cycles in complementary graphs: Gary Chartrand and Seymour Schuster PDF; Bull. Amer. Math. Soc. 77 (1971), 995-998

On the existence of a control measure for strongly bounded vector measures: James K. Brooks PDF; Bull. Amer. Math. Soc. 77 (1971), 999-1001

Condition $\left ( {\text {C}} \right )$ and geodesics on Sobolev manifolds: Halldór I. Elíasson PDF; Bull. Amer. Math. Soc. 77 (1971), 1002-1005

Localization and completion in homotopy theory: A. K. Bousfield and D. M. Kan PDF; Bull. Amer. Math. Soc. 77 (1971), 1006-1010

Abstract wave equations with finite velocity of propagation: Stephen Berman PDF; Bull. Amer. Math. Soc. 77 (1971), 1011-1013

An exact sequence involving the Chern character: Albert T. Lundell PDF; Bull. Amer. Math. Soc. 77 (1971), 1014-1017

An existence theorem for ordinary differential equations in Banach spaces: Shui-Nee Chow and J.D. Schuur PDF; Bull. Amer. Math. Soc. 77 (1971), 1018-1020

Weighted approximation of continuous functions: João B. Prolla PDF; Bull. Amer. Math. Soc. 77 (1971), 1021-1024

${\text {PL}}$ characteristic classes and cobordism: G. Brumfiel, I. Madsen and R. J. Milgram PDF; Bull. Amer. Math. Soc. 77 (1971), 1025-1030

Kreiss’ mixed problems with nonzero initial data: Jeffrey Rauch PDF; Bull. Amer. Math. Soc. 77 (1971), 1031-1033

The interpolatory background of the Euler-MacLaurin quadrature formula: I. J. Schoenberg and A. Sharma PDF; Bull. Amer. Math. Soc. 77 (1971), 1034-1038

On equidistant cubic spline interpolation: I. J. Schoenberg PDF; Bull. Amer. Math. Soc. 77 (1971), 1039-1044

Curvature and complex analysis: R. E. Greene and H. Wu PDF; Bull. Amer. Math. Soc. 77 (1971), 1045-1049

On conjugate powers in eighth-groups: Seymour Lipschutz PDF; Bull. Amer. Math. Soc. 77 (1971), 1050-1051

The square of every nonseparable graph is Hamiltonian: Herbert Fleischner PDF; Bull. Amer. Math. Soc. 77 (1971), 1052-1054

Some orders of infinite lattice type: Klaus W. Roggenkamp PDF; Bull. Amer. Math. Soc. 77 (1971), 1055-1056

The cardinality of first countable spaces: Prabir Roy PDF; Bull. Amer. Math. Soc. 77 (1971), 1057-1059

Homotopy types of some ${\text {PL}}$ complexes: Tadatoshi Akiba PDF; Bull. Amer. Math. Soc. 77 (1971), 1060-1062

Representation theory for division algebras over local fields (tamely ramified case): Roger Howe PDF; Bull. Amer. Math. Soc. 77 (1971), 1063-1066

Existence of polynomial identities in $A \otimes _F B$: Amitai Regev PDF; Bull. Amer. Math. Soc. 77 (1971), 1067-1069

A structure theorem for complete noncompact hypersurfaces of nonnegative curvature: H. Wu PDF; Bull. Amer. Math. Soc. 77 (1971), 1070-1071

$BSJ$ does not map correctly into $BSF$ ${\text {MOD}}$ 2: Robert Clough and James Stasheff PDF; Bull. Amer. Math. Soc. 77 (1971), 1072-1074

Lefschetz formula and Morse inequalities: Everett Pitcher PDF; Bull. Amer. Math. Soc. 77 (1971), 1075-1078

Minimality in families of solutions of $\Delta u = Pu$ on Riemannian manifolds: Kwang-nan Chow PDF; Bull. Amer. Math. Soc. 77 (1971), 1079-1081

Dissipative periodic processes: J. E. Billotti and J. P. Lasalle PDF; Bull. Amer. Math. Soc. 77 (1971), 1082-1088

A note on Mackey’s imprimitivity theorem: Peter R. Mueller-Roemer PDF; Bull. Amer. Math. Soc. 77 (1971), 1089-1090

Extension of positive holomorphic line bundles: Bernard Shiffman PDF; Bull. Amer. Math. Soc. 77 (1971), 1091-1093

Some fundamental theorems in cohomology theory of topological transformation groups: Wu-yi Hsiang PDF; Bull. Amer. Math. Soc. 77 (1971), 1094-1098

On $\Gamma$-structures: M. G. Barratt PDF; Bull. Amer. Math. Soc. 77 (1971), 1099

Variational problems within the class of solutions of a partial differential equation: Robert Delver PDF; Bull. Amer. Math. Soc. 77 (1971), 1100-1105

Deformations of normal vector fields and the generalized Minkowski problem: Herman Gluck PDF; Bull. Amer. Math. Soc. 77 (1971), 1106-1110

On Haefliger’s classifying space. I: John N. Mather PDF; Bull. Amer. Math. Soc. 77 (1971), 1111-1115

On extensions of fundamental groups of surfaces and related groups: Heiner Zieschang PDF; Bull. Amer. Math. Soc. 77 (1971), 1116-1119

Errata, Volume 77: PDF; Bull. Amer. Math. Soc. 77 (1971), 1120

Addendum to finite dimensional $H$-spaces: Morton Curtis PDF; Bull. Amer. Math. Soc. 77 (1971), 1120

Erratum, Volume 76: PDF; Bull. Amer. Math. Soc. 77 (1971), 1120

Bylaws of the American Mathematical Society: PDF; Bull. Amer. Math. Soc. 77 (1971), 1121-1129

Endowment fund and prize funds: PDF; Bull. Amer. Math. Soc. 77 (1971), 1130-1135

Officers and lecturers of the Society: PDF; Bull. Amer. Math. Soc. 77 (1971), 1136-1137

Index to volume 77: PDF; Bull. Amer. Math. Soc. 77 (1971), 1138-1146

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Equations in Linear Spaces, by D. Przeworska-Rolewicz and S. Rolewicz.
Theory of Generalized Spectral Operators, by Ion Colojoara and Ciprian Foiaş.
Analyse harmonique des operateurs de l'espace de Hilbert, by Bela Sz.-Nagy and Ciprian Foiaş.
Introduction to the Theory of Linear Nonselfadjoint Operators, by I. C. Goh′berg and M. G. Kreĭn.: Reviewer: Ronald Douglas; Review information PDF; Bull. Amer. Math. Soc. 77 (1971), 938-943

Introduction to analytic number theory, by K. Chandrasekharan.
Arithmetic functions, by K. Chandrasekharan.
Multiplicative number theory, by Harold Davenport.
Sequences, by H. Halberstam and K. F. Roth.: Reviewer: H. M. Stark; Review information PDF; Bull. Amer. Math. Soc. 77 (1971), 943-957