Paul Althaus Smith
#77,564
Most Influential Person Across History
American mathematician
Paul Althaus Smith's AcademicInfluence.com Rankings
Paul Althaus Smithmathematics Degrees
Mathematics
#4569
Historical Rank
Measure Theory
#2954
Historical Rank

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Mathematics
Paul Althaus Smith's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Paul Althaus Smith Influential?
(Suggest an Edit or Addition)According to Wikipedia, Paul Althaus Smith was an American mathematician. His name occurs in two significant conjectures in geometric topology: the Smith conjecture, which is now a theorem, and the Hilbert–Smith conjecture, which was proved in dimension 3 in 2013. Smith theory is a theory about homeomorphisms of finite order of manifolds, particularly spheres.
Paul Althaus Smith's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Review: M. H. A. Newman, Elements of the Topology of Plane Sets of Points (1939) (218)
- Transformations of Finite Period. II (1938) (158)
- New results and old problems in finite transformation groups (1960) (104)
- Fixed-Point Theorems for Periodic Transformations (1941) (87)
- Permutable Periodic Transformations. (1944) (62)
- Transformations of Finite Period. III: Newman's Theorem (1941) (44)
- A Theorem on Fixed Points for Periodic Transformations (1934) (31)
- Abelian actions on $2$-manifolds. (1967) (28)
- The Complex of a Group Relative to a Set of Generators: Part II (1951) (23)
- Periodic Transformations of Complexes (1938) (22)
- Manifolds with Abelian Fundamental Groups (1936) (19)
- The Topology of Involutions. (1933) (12)
- The topology of transformation groups (1938) (9)
- Stationary Points of Transformation Groups. (1942) (8)
- The Fundamental Group of a Group Manifold. (1934) (6)
- Topological foundations in the theory of continuous transformation groups (1936) (6)
- Foundation of Lie Groups (1947) (6)
- Foundations of the Theory of Lie Groups With Real Parameters (1943) (6)
- Properties of Group Manifolds. (1931) (4)
- Everywhere dense subgroups of Lie groups (1942) (4)
- Periodic transformations of 3-manifolds (1965) (4)
- Transformations of Finite Period: IV. Dimensional Parity (1945) (4)
- Review: Witold Hurewicz and Henry Wallman, Dimension Theory (1942) (2)
- Book Review: Elements of the Topology of Plane Sets of Points (1939) (1)
- ORBIT SPACES OF FINITE ABELIAN TRANSFORMATION GROUPS. (1961) (1)
- ORBIT SPACES OF ABELIAN p-GROUPS. (1959) (1)
- Review: H. von Helmholtz, Counting and Measuring (1932) (0)
- Three Books on Topology (1933) (0)
- Examples of surface transformations (1930) (0)
- Book Review: Counting and Measuring (0)
- Homotopy Groups of Certain Algebraic Systems. (1949) (0)
- Menger on Theory of Dimensions (1929) (0)
- Generators and relations in a complex (1957) (0)
- Review: Max Black, The Nature of Mathematics (1934) (0)
- Lefschetz on Topology (1931) (0)
- Review: Claude Chevalley, The theory of Lie groups, I (1947) (0)
- Approximation of Curves and Surfaces by Algebraic Curves and Surfaces (1926) (0)
- The cohomology of certain orbit spaces (1963) (0)
- Homological algebra: by Henri Cartan and Samuel Eilenberg.390 pages, 6 × 9 in.Princeton, Princeton University Press, 1956. Price, $7.50 (1957) (0)
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What Schools Are Affiliated With Paul Althaus Smith?
Paul Althaus Smith is affiliated with the following schools: