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 80, Number 5
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Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 80, Number 5 (1974): PDF; Bull. Amer. Math. Soc. 80 (1974)

Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 80, Number 5 (1974): PDF; Bull. Amer. Math. Soc. 80 (1974)

Higher dimensional diophantine problems: Serge Lang PDF; Bull. Amer. Math. Soc. 80 (1974), 779-787

Best approximation in $L^1 \left ( T \right )$: J.-P. Kahane PDF; Bull. Amer. Math. Soc. 80 (1974), 788-804

Elections to membership: PDF; Bull. Amer. Math. Soc. 80 (1974), 808-815

The March meeting in Gainesville: O. G. Harrold PDF; Bull. Amer. Math. Soc. 80 (1974), 816

Harry Schultz Vandiver, 1882-1973: D. H. Lehmer PDF; Bull. Amer. Math. Soc. 80 (1974), 817-818

Tiling space by congruent polyhedra: S. K. Stein PDF; Bull. Amer. Math. Soc. 80 (1974), 819-820

Lebesgue spaces for bilinear vector integration theory: James K. Brooks and Nicolae Dinculeanu PDF; Bull. Amer. Math. Soc. 80 (1974), 821-824

A unified approach to generalized inverses of linear operators: I. Algebraic, topological and projectional properties: M. Z. Nashed and G. F. Votruba PDF; Bull. Amer. Math. Soc. 80 (1974), 825-830

A unified approach to generalized inverses of linear operators: II. Extremal and proximal properties: M. Z. Nashed and G. F. Votruba PDF; Bull. Amer. Math. Soc. 80 (1974), 831-835

The permanent at a minimum on certain classes of doubly stochastic matrices: Mark Blondeau Hedrick PDF; Bull. Amer. Math. Soc. 80 (1974), 836-838

On sequences of measures: Klaus Bichteler PDF; Bull. Amer. Math. Soc. 80 (1974), 839-844

A representation of closed, orientable 3-manifolds as 3-fold branched coverings of $S^3$: José M. Montesinos PDF; Bull. Amer. Math. Soc. 80 (1974), 845-846

Nonsmoothing of algebraic cycles on Grassmann varieties: Robin Hartshorne, Elmer Rees and Emery Thomas PDF; Bull. Amer. Math. Soc. 80 (1974), 847-851

Lie algebra cohomology of certain infinite-dimensional representations: M. S. Osborne PDF; Bull. Amer. Math. Soc. 80 (1974), 852-854

The oriented topological and ${\text {PL}}$ cobordism rings: I. Madsen and R. J. Milgram PDF; Bull. Amer. Math. Soc. 80 (1974), 855-860

On nonlinear Fredholm operator equations: M. S. Berger and E. Podolak PDF; Bull. Amer. Math. Soc. 80 (1974), 861-864

Higher differential algebras of discrete valuation rings: Satoshi Suzuki and Jun-ichi Nishimura PDF; Bull. Amer. Math. Soc. 80 (1974), 865-867

Irreducible representations of Lie algebra extensions: Richard E. Block PDF; Bull. Amer. Math. Soc. 80 (1974), 868-872

A product formula for an Arf-Kervaire invariant: Edgar H. Brown Jr. PDF; Bull. Amer. Math. Soc. 80 (1974), 873-874

Strongly reflexive lattices: W. E. Longstaff PDF; Bull. Amer. Math. Soc. 80 (1974), 875-878

Preimages of metric spaces: G. M. Reed and P. L. Zenor PDF; Bull. Amer. Math. Soc. 80 (1974), 879-880

Enumeration of pairs of permutations and sequences: L. Carlitz, Richard Scoville and Theresa Vaughan PDF; Bull. Amer. Math. Soc. 80 (1974), 881-884

Additive commutators between $2 \times 2$ integral matrix representations of orders in identical or different quadratic number fields: Olga Taussky PDF; Bull. Amer. Math. Soc. 80 (1974), 885-887

Conditions for a universal mapping of algebras to be a monomorphism: John L. MacDonald PDF; Bull. Amer. Math. Soc. 80 (1974), 888-892

Measurable choice and the invariant subspace problem: Edward A. Azoff and Frank Gilfeather PDF; Bull. Amer. Math. Soc. 80 (1974), 893-895

Factorization and invariant subspaces for noncontractions: Joseph A. Ball PDF; Bull. Amer. Math. Soc. 80 (1974), 896-900

A well-posed problem for the heat equation: Thomas I. Seidman PDF; Bull. Amer. Math. Soc. 80 (1974), 901-902

Quadratic spline interpolation: M. J. Marsden PDF; Bull. Amer. Math. Soc. 80 (1974), 903-906

On ideals of compact operators: J. S. Morrell, M. S. Hsieh and J. R. Retherford PDF; Bull. Amer. Math. Soc. 80 (1974), 907-909

$P_n$-spaces and $n$-fold loop spaces: Peter V. Z. Cobb PDF; Bull. Amer. Math. Soc. 80 (1974), 910-914

The commutant of analytic Toeplitz operators: James Thomson PDF; Bull. Amer. Math. Soc. 80 (1974), 915-916

The zeta function of a class of rational varieties: Stuart Turner PDF; Bull. Amer. Math. Soc. 80 (1974), 917-920

Some theorems on $C$-functions: Leslie Cohn PDF; Bull. Amer. Math. Soc. 80 (1974), 921-926

$2^X$ and $C\left ( X \right )$ are homeomorphic to the Hilbert cube: D. W. Curtis and R. M. Schori PDF; Bull. Amer. Math. Soc. 80 (1974), 927-931

An embedding-obstruction for projective varieties: Audun Holme PDF; Bull. Amer. Math. Soc. 80 (1974), 932-934

Some examples of sphere bundles over spheres which are loop spaces $\bmod p$: John Ewing PDF; Bull. Amer. Math. Soc. 80 (1974), 935-938

Representation of partially ordered linear algebras: Richard C. Metzler PDF; Bull. Amer. Math. Soc. 80 (1974), 939-940

Torsion algebraic cycles, $K_2$, and Brauer groups of function fields: S. Bloch PDF; Bull. Amer. Math. Soc. 80 (1974), 941-945

Orthogonality and nonlinear functionals: S. Gudder and D. Strawther PDF; Bull. Amer. Math. Soc. 80 (1974), 946-950

Zeros of derivative of Riemann’s $\xi$-function: Norman Levinson PDF; Bull. Amer. Math. Soc. 80 (1974), 951-954

Reduction theory in algebraic number fields: Hans Zassenhaus PDF; Bull. Amer. Math. Soc. 80 (1974), 955-956

Schur homotopy of the simplest group: Charles H. Giffen PDF; Bull. Amer. Math. Soc. 80 (1974), 957-960

Differentiable $Z_p$ actions on homotopy spheres: Reinhard Schultz PDF; Bull. Amer. Math. Soc. 80 (1974), 961-964

Nonlinear parabolic equations and probability: D. J. Hebert Jr. PDF; Bull. Amer. Math. Soc. 80 (1974), 965-969

Finite-dimensional representations of separable $C^*$-algebras: Carl Pearcy and Norberto Salinas PDF; Bull. Amer. Math. Soc. 80 (1974), 970-972

A convergent family of diffusion processes whose diffusion coefficients diverge: Walter A. Rosenkrantz PDF; Bull. Amer. Math. Soc. 80 (1974), 973-976

Cyclic suspension of knots and periodicity of signature for singularities: Walter D. Neumann PDF; Bull. Amer. Math. Soc. 80 (1974), 977-981

On the extension of boundary integrable almost complex structure: Garo K. Kiremidjian PDF; Bull. Amer. Math. Soc. 80 (1974), 982-985

Radical embedding, genus, and toroidal derivations of nilpotent associative algebras: F. J. Flanigan PDF; Bull. Amer. Math. Soc. 80 (1974), 986-990

Generalized gradient fields and electrical circuits: Alcides Lins Neto PDF; Bull. Amer. Math. Soc. 80 (1974), 991-995

Small eigenvalues of the Laplace operator on compact Riemann surfaces: Burton Randol PDF; Bull. Amer. Math. Soc. 80 (1974), 996-1000

On a $p$-adic vanishing theorem of Garland: W. Casselman PDF; Bull. Amer. Math. Soc. 80 (1974), 1001-1004

Global bifurcation theorems for noncompact operators: John MacBain PDF; Bull. Amer. Math. Soc. 80 (1974), 1005-1009

Injective stability for $K_2$ of local rings: R. Keith Dennis and Michael R. Stein PDF; Bull. Amer. Math. Soc. 80 (1974), 1010-1013

Combinatorial and continuous Hodge theories: Jozef Dodziuk PDF; Bull. Amer. Math. Soc. 80 (1974), 1014-1016

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

Mathematical thought from ancient to modern times, by Morris Kline.: Reviewer: Gian-Carlo Rota; Review information PDF; Bull. Amer. Math. Soc. 80 (1974), 805-807