Deane Montgomery
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American mathematician
Deane Montgomery's AcademicInfluence.com Rankings
Deane Montgomerymathematics Degrees
Mathematics
#796
World Rank
#1428
Historical Rank
#348
USA Rank
Measure Theory
#1133
World Rank
#1449
Historical Rank
#412
USA Rank
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Mathematics
Deane Montgomery's Degrees
- PhD Mathematics University of Chicago
Why Is Deane Montgomery Influential?
(Suggest an Edit or Addition)According to Wikipedia, Deane Montgomery was an American mathematician specializing in topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as president of the American Mathematical Society from 1961 to 1962.
Deane Montgomery's Published Works
Published Works
- Topological Transformation Groups (1956) (1170)
- Transformation Groups of Spheres (1943) (320)
- Fixed Point Theorems for Multi-Valued Transformations (1946) (279)
- THE EXISTENCE OF A SLICE (1957) (109)
- Simply connected homogeneous spaces (1950) (107)
- Locally Compact Groups of Differntiable Transformations (1946) (106)
- Groups On Analytic Manifolds (1947) (103)
- Continuity in topological groups (1936) (83)
- A representation of generalized Boolean rings (1937) (78)
- Groups of Differentiable and Real or Complex Analytic Transformations (1945) (76)
- Small Subgroups of Finite-Dimensional groups. (1952) (63)
- A theorem of Lie groups (1942) (61)
- Differentiable actions on homotopy seven spheres (1966) (57)
- Small Subgroups of Finite-Dimensional Groups (1952) (49)
- Examples of transformation groups (1954) (42)
- Pointwise Periodic Homeomorphisms (1937) (41)
- EXCEPTIONAL ORBITS OF HIGHEST DIMENSION (1956) (41)
- Fiberings with singularities (1946) (31)
- Orbits of highest dimension (1958) (28)
- Singular Points of a Compact Transformation Group (1956) (27)
- Subgroups of Locally Compact Groups (1948) (24)
- Differentiable pseudo-free circle actions on homotopy seven spheres (1972) (23)
- AN EXAMPLE FOR SO(3). (1962) (20)
- FREE DIFFERENTIABLE ACTIONS ON HOMOTOPY SPHERES. (1968) (19)
- Differentiable transformation groups on homotopy spheres. (1967) (17)
- Topological Groups of Differentiable Transformations (1945) (16)
- Finite dimensionality of certain transformation groups (1957) (16)
- Periodic one-parameter groups in three-space (1936) (16)
- Locally Homogeneous Spaces (1950) (15)
- Groups on ⁿ with (-2)-dimensional orbits (1956) (15)
- Groups on $S^n$ with principal orbits of dimension $n - 3$ (1960) (14)
- A Theorem On Fixed Points Of Involutions In S3 (1955) (12)
- Translation Groups of Three-Space (1937) (11)
- Groups transitive on the $n$-dimensional torus (1943) (11)
- Existence of Subgroups Isomorphic to the Real Numbers (1951) (11)
- Transformation groups on a $K(\pi ,\,1)$. II. (1959) (10)
- EXAMPLES FOR DIFFERENTIABLE GROUP ACTIONS ON SPHERES. (1961) (10)
- Theorems on the Topological Structure of Locally Compact Groups (1949) (10)
- Compact Groups in E n (1964) (8)
- A Class of Transformation Groups in E n (1943) (8)
- What is a Topological Group (1945) (7)
- Differentiable pseudo-free circle actions. (1971) (7)
- On the action of ${\rm SO}(3)$ on $S^{n}$. (1962) (7)
- Finite Dimensional Groups (1950) (7)
- Compact Abelian transformation groups (1938) (6)
- Compact Groups of Transformations Each of Which is Analytic (1945) (6)
- Measure preserving homeomorphisms at fixed points (1945) (6)
- DIFFERENTIABLE ACTIONS OF HOMOTOPY SEVEN SPHERES, II. (1968) (6)
- Almost periodic transformation groups (1937) (5)
- On homotopy seven-spheres that admit differentiable pseudo-free circle actions. (1973) (4)
- Dimensions of Factor Spaces (1948) (4)
- Non-Abelian Compact Connected Transformation Groups of Three-Space (1939) (3)
- Properties of Plane Sets and Functions of Two Variables (1934) (3)
- Topological group foundations of rigid space geometry (1940) (3)
- Correction to "Compact Groups in E n " (1965) (3)
- Analytic Parameters in Three Dimensional Groups (1948) (3)
- Homotopy equivalence and differentiable pseudo-free circle actions on homotopy spheres. (1973) (3)
- Toroid transformation groups on euclidean space (1958) (2)
- A theorem on the rotation group of the two-sphere (1940) (2)
- Groups on $R^n$ or $S^n$. (1959) (1)
- Four-Dimensional Groups (1952) (1)
- A Theorem on Locally Euclidean Groups (1947) (1)
- Two-dimensional subgroups (1951) (1)
- Remarks on Groups of Homeomorphisms (1941) (1)
- Remark on continuous collections (1983) (1)
- Nels Johann Lennes (1954) (1)
- An Unpublished Reply (1980) (0)
- Sections of point sets (1933) (0)
- A theorem on the action of SO(3) (1962) (0)
- Algebra for college students (1936) (0)
- Actions of ${\rm SU}(2)$ on $S^7$. (1984) (0)
- CHAPTER IX: ORBITS OF HIGHEST DIMENSION (1961) (0)
- Deane Montgomery Faculty file: bibliography and recommendation letters (1951) (0)
- A metrical property of point-set transformations (1934) (0)
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What Schools Are Affiliated With Deane Montgomery?
Deane Montgomery is affiliated with the following schools: