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 78, Number 5
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Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 78, Number 5 (1972): PDF; Bull. Amer. Math. Soc. 78 (1972)

Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 78, Number 5 (1972): PDF; Bull. Amer. Math. Soc. 78 (1972)

The differential closure of a differential field: Gerald E. Sacks PDF; Bull. Amer. Math. Soc. 78 (1972), 629-634

Missed opportunities: Freeman J. Dyson PDF; Bull. Amer. Math. Soc. 78 (1972), 635-652

Frobenius and the Hodge filtration: B. Mazur PDF; Bull. Amer. Math. Soc. 78 (1972), 653-667

The isomorphism problem in ergodic theory: Benjamin Weiss PDF; Bull. Amer. Math. Soc. 78 (1972), 668-684

Report of the treasurer: W. T. Martin PDF; Bull. Amer. Math. Soc. 78 (1972), 694-696

Operators on function spaces: James K. Brooks and Paul W. Lewis PDF; Bull. Amer. Math. Soc. 78 (1972), 697-701

Lipschitz function spaces for arbitrary metrics: Jerry Johnson PDF; Bull. Amer. Math. Soc. 78 (1972), 702-705

Singularity subschemes and generic projections: Joel Roberts PDF; Bull. Amer. Math. Soc. 78 (1972), 706-708

Surfaces with parallel mean curvature vector: Bang-Yen Chen PDF; Bull. Amer. Math. Soc. 78 (1972), 709-710

Two consistency results in topology: A. Hajnal and I. Juhász PDF; Bull. Amer. Math. Soc. 78 (1972), 711

Physical variational principles which satisfy the Palais-Smale condition: William B. Gordon PDF; Bull. Amer. Math. Soc. 78 (1972), 712-716

The fundamental form of a finite purely inseparable field extension: Murray Gerstenhaber PDF; Bull. Amer. Math. Soc. 78 (1972), 717-720

Uniform estimates for the ${\bar \partial }$-equation on intersections of strictly pseudoconvex domains: R. Michael Range and Yum-Tong Siu PDF; Bull. Amer. Math. Soc. 78 (1972), 721-723

Nonnoetherian complete intersections: Michel André PDF; Bull. Amer. Math. Soc. 78 (1972), 724-729

A spectral mapping theorem for tensor products of unbounded operators: Michael C. Reed and Barry Simon PDF; Bull. Amer. Math. Soc. 78 (1972), 730-733

On Hermitian structures of prescribed nonpositive Hermitian scalar curvature: Melvyn S. Berger PDF; Bull. Amer. Math. Soc. 78 (1972), 734-736

On algebraic varieties whose universal covering manifolds are complex affine 3-spaces: Shigeru Iitaka PDF; Bull. Amer. Math. Soc. 78 (1972), 737-740

On the solvability of semilinear operator equations and elliptic boundary value problems: Melvyn S. Berger and Martin Schechter PDF; Bull. Amer. Math. Soc. 78 (1972), 741-745

Fiber preserving cellular decompositions: John J. Walsh PDF; Bull. Amer. Math. Soc. 78 (1972), 746-748

Study of the permanent conjecture and some generalizations: O. S. Rothaus PDF; Bull. Amer. Math. Soc. 78 (1972), 749-752

Boundary value problems for quasilinear elliptic equations with rapidly increasing coefficients: Jean-Pierre Gossez PDF; Bull. Amer. Math. Soc. 78 (1972), 753-758

On the existence of a “wave operator” for the Boltzmann equation: F. Alberto Grünbaum PDF; Bull. Amer. Math. Soc. 78 (1972), 759-762

A note on Poincaré 2-complexes: Joel M. Cohen PDF; Bull. Amer. Math. Soc. 78 (1972), 763-765

Independence of the prime ideal theorem from the Hahn Banach theorem: David Pincus PDF; Bull. Amer. Math. Soc. 78 (1972), 766-770

Balanced local rings with commutative residue fields: Vlastimil Dlab and Claus Michael Ringel PDF; Bull. Amer. Math. Soc. 78 (1972), 771-774

A Thullen type extension theorem for positive holomorphic vector bundles: Yum-Tong Siu PDF; Bull. Amer. Math. Soc. 78 (1972), 775-776

Minimal realization of machines in closed categories: J. A. Goguen PDF; Bull. Amer. Math. Soc. 78 (1972), 777-783

A generalization of the Eilenberg-Moore spectral sequence: D. W. Anderson PDF; Bull. Amer. Math. Soc. 78 (1972), 784-786

${\text {PL}}$ sheaves and their characteristic classes: Howard Osborn PDF; Bull. Amer. Math. Soc. 78 (1972), 787-791

On the 2-spheres in a 3-manifold: F. Laudenbach PDF; Bull. Amer. Math. Soc. 78 (1972), 792-795

Prime number theorems for the coefficients of modular forms: Carlos Julio Moreno PDF; Bull. Amer. Math. Soc. 78 (1972), 796-798

The entire chromatic number of a normal graph is at most seven: Hudson V. Kronk and John Mitchem PDF; Bull. Amer. Math. Soc. 78 (1972), 799-800

Involutions on Kleinian groups: I. Kra and B. Maskit PDF; Bull. Amer. Math. Soc. 78 (1972), 801-805

$A$-proper mappings and their uniform limits: P. M. Fitzpatrick PDF; Bull. Amer. Math. Soc. 78 (1972), 806-809

Pure, normal maximal subfields for division algebras in the Schur subgroup: Charles Ford PDF; Bull. Amer. Math. Soc. 78 (1972), 810-812

Compactifications of $C^2$: James A. Morrow PDF; Bull. Amer. Math. Soc. 78 (1972), 813-816

Structurally stable diffeomorphisms are dense: Michael Shub PDF; Bull. Amer. Math. Soc. 78 (1972), 817-818

Punctual Hilbert schemes: A. Iarrobino PDF; Bull. Amer. Math. Soc. 78 (1972), 819-823

The dual group of the Fourier-Stieltjes algebra: Martin E. Walter PDF; Bull. Amer. Math. Soc. 78 (1972), 824-827

Fourier coefficients of certain Eisenstein series: Martin L. Karel PDF; Bull. Amer. Math. Soc. 78 (1972), 828-830

On ${\text {Ext}}_R^1 \left ( {A,R} \right )$ for torsion-free $A$: C. U. Jensen PDF; Bull. Amer. Math. Soc. 78 (1972), 831-834

Foliations and the propagation of zeroes of solutions of partial differential equations: E. C. Zachmanoglou PDF; Bull. Amer. Math. Soc. 78 (1972), 835-839

On the summation of conjugate Fourier integrals of functions of several variables: T. Walsh PDF; Bull. Amer. Math. Soc. 78 (1972), 840-843

Estimates for the Szegö and Poisson kernels of sufficiently rounded tube domains: Lawrence J. Dickson PDF; Bull. Amer. Math. Soc. 78 (1972), 844-846

Characterizing shapes of compacta: T. A. Chapman PDF; Bull. Amer. Math. Soc. 78 (1972), 847-851

On a class of complex spaces intermediate to Stein and compact: Alan T. Huckleberry and Ricardo Nirenberg PDF; Bull. Amer. Math. Soc. 78 (1972), 852-853

Absolutely torsion-free rings: Robert A. Rubin PDF; Bull. Amer. Math. Soc. 78 (1972), 854-856

Invariant subspaces of Hardy classes on infinitely connected plane domains: Charles W. Neville PDF; Bull. Amer. Math. Soc. 78 (1972), 857-860

On the Haefliger knot groups: R. James Milgram PDF; Bull. Amer. Math. Soc. 78 (1972), 861-865

Curvature and complex analysis. II: R. E. Greene and H. Wu PDF; Bull. Amer. Math. Soc. 78 (1972), 866-870

The spectral mapping theorem in several variables: Robin Harte PDF; Bull. Amer. Math. Soc. 78 (1972), 871-875

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

Best approximation in normed linear spaces by elements of linear subspaces, by Ivan Singer.: Reviewer: Wojbor A. Woyczynski; Review information PDF; Bull. Amer. Math. Soc. 78 (1972), 685-690

Algebraic Number Theory, by Serge Lang.: Reviewer: Lawrence Corwin; Review information PDF; Bull. Amer. Math. Soc. 78 (1972), 690-693