Ralph Fox
#21,634
Most Influential Person Across History
American mathematician
Ralph Fox's AcademicInfluence.com Rankings
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Mathematics
Ralph Fox's Degrees
- PhD Mathematics Princeton University
Why Is Ralph Fox Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ralph Hartzler Fox was an American mathematician. As a professor at Princeton University, he taught and advised many of the contributors to the Golden Age of differential topology, and he played an important role in the modernization of knot theory and of bringing it into the mainstream.
Ralph Fox'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
- Free differential calculus. I : Derivation in the free group ring (1953) (442)
- Introduction to Knot Theory (1977) (396)
- Free Differential Calculus, IV. The Quotient Groups of the Lower Central Series (1958) (378)
- Some Wild Cells and Spheres in Three-Dimensional Space (1948) (245)
- Singularities of 2-spheres in 4-space and cobordism of knots (1966) (227)
- On topologies for function spaces (1945) (211)
- Covering spaces with singularities (1957) (161)
- The Braid Groups. (1962) (157)
- ON THE LUSTERNIK-SCHNIRELMANN CATEGORY (1941) (151)
- Free Differential Calculus. II: The Isomorphism Problem of Groups (1954) (132)
- Free Differential Calculus III. Subgroups (1956) (75)
- Metacyclic Invariants of Knots and Links (1970) (72)
- Concerning the transitive properties of geodesics on a rational polyhedron (1936) (69)
- On the Imbedding of Polyhedra in 3-Space (1948) (64)
- Presentation of Groups (1963) (61)
- Homotopy Groups and Torus Homotopy Groups (1948) (54)
- Dual Presentations of the Group of a Knot (1954) (37)
- Free Differential Calculus, V. The Alexander Matrices Re-Examined (1960) (36)
- Shape theory and covering spaces (1974) (32)
- BRANCHED COVERING SPACES AND THE QUADRATIC FORMS OF LINKS, II (1954) (31)
- A mildly wild imbedding of an $n$-frame (1960) (31)
- A note on branched cyclic coverings of spheres (1972) (30)
- On the complementary domains of a certain pair of inequivalent knots (1952) (29)
- Sparta and Judaea (1934) (28)
- A Remarkable Simple Closed Curve (1949) (25)
- On the Total Curvature of Some Tame Knots (1950) (25)
- Congruence classes of knots (1958) (21)
- An Introduction to Philo Judaeus (1941) (20)
- On fibre spaces. II (1943) (19)
- On Homotopy Type and Deformation Retracts (1943) (19)
- On a problem of S. Ulam concerning Cartesian products (1947) (18)
- Torus Homotopy Groups. (1945) (17)
- Some immersions of projective space in euclidean space (1963) (16)
- An ideal class invariant of knots (1964) (15)
- The Homology Characters of the Cyclic Coverings of the Knots of Genus One (1960) (15)
- Remarks on certain pathological open subsets of 3-space and their fundamental groups (1950) (14)
- On the homology of fiber spaces (1964) (13)
- Characterizations of slices and ribbons (1973) (12)
- On knots whose points are fixed under a periodic transformation of the 3-sphere (1958) (10)
- Two theorems about periodic transformations of the $3$-sphere. (1967) (8)
- Fibre Spaces (8)
- A characterization of absolute neighborhood retracts (1942) (8)
- A short proof of the Junnila quasimetrization theorem (1981) (7)
- Extension of homeomorphisms into Euclidean and Hilbert parallelotopes (1941) (7)
- On Homotopy and Extension of Mappings. (1940) (5)
- Shorter Notes: A Short Proof of the Junnila Quasi-Metrization Theorem (1981) (4)
- Invariants of Self-Linking (1951) (3)
- Some $n$-dimensional manifolds that have the same fundamental group. (1968) (2)
- On the Deformation Retraction of Some Function Spaces Associated With the Relative Homotopy Groups (1943) (1)
- Calculation of Fundamental Groups (1963) (1)
- Presentation of a Knot Group (1963) (1)
- Regular spaces and Abian Structures (1974) (1)
- A Refutation of the Article, Institutional Influences in the Graduate Training of Productive Mathematicians (1969) (1)
- Topological spaces and Abian structures (1978) (0)
- Characteristic Properties of the Knot Polynomials (1963) (0)
- The Free Groups (1963) (0)
- The Knot Polynomials (1963) (0)
- Rome and Judea (1930) (0)
- The Politics of Philo Judaeus: Practice and Theory. By Erwin R. Goodenough, Yale University. With a General Bibliography of Philo by Howard L. Goodhart and Erwin R. Goodenough. (New Haven: Yale University Press. 1938, Pp. xii, 348. $3.75.) (1940) (0)
- Knots and Knot Types (1963) (0)
- The Mediterranean World in Ancient Times@@@The Ancient World (1939) (0)
- The Fundamental Group (1963) (0)
- Review: Andrew H. Wallace, An introduction to algebraic topology (1958) (0)
- The Free Calculus and the Elementary Ideals (1963) (0)
- Statistics projects outside the classroom (1973) (0)
- Bibliography of the Publications of S. Lefschetz to June 1955 (1957) (0)
- Errata to the paper "On shape" Fundamenta Mathematicae 74 (1972), pp. 47-71 (1972) (0)
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