Ioan James

Ioan James's AcademicInfluence.com Rankings

Ioan James

Mathematics

#1139

World Rank

#1920

Historical Rank

Measure Theory

#641

World Rank

#880

Historical Rank

mathematics Degrees

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Mathematics

Why Is Ioan James Influential?

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According to Wikipedia, Ioan Mackenzie James FRS is a British mathematician working in the field of topology, particularly in homotopy theory. Biography James was born in Croydon, Surrey, England, and was educated at St Paul's School, London and Queen's College, Oxford. In 1953 he earned a D. Phil. from the University of Oxford for his thesis entitled Some problems in algebraic topology, written under the direction of J. H. C. Whitehead.

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Ioan James'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

REDUCED PRODUCT SPACES (1955) (384)
Three-Dimensional Geometry and Topology, Volume 1 (1997) (331)
Singularities * (2008) (300)
On category, in the sense of Lusternik-Schnirelmann (1978) (255)
Handbook of algebraic topology (1995) (199)
The topology of Stiefel manifolds (1976) (175)
The Homotopy Theory of Sphere Bundles Over Spheres (I) (1954) (165)
History of topology (1999) (110)
ON H -SPACES AND THEIR HOMOTOPY GROUPS (1960) (105)
Fibrewise Homotopy Theory (1998) (101)
General topology and homotopy theory (1984) (89)
ON THE SUSPENSION SEQUENCE (1957) (85)
SPACES ASSOCIATED WITH STIEFEL MANIFOLDS (1959) (81)
Introduction to uniform spaces (1987) (75)
Cross-Sections of Stiefel Manifolds (1958) (73)
Topological and Uniform Spaces (1987) (71)
Lectures on Algebraic and Differential Topology (1972) (62)
ON THE SUSPENSION TRIAD (1956) (61)
Note on cup-products (1957) (54)
On equivariant homotopy type (1978) (50)
Multiplication on spheres. II (1957) (45)
ON THE HOMOTOPY GROUPS OF CERTAIN PAIRS AND TRIADS (1954) (44)
Ex-homotopy theory I (1971) (43)
Whitehead Products and Projective Spaces (1960) (40)
THE SUSPENSION TRIAD OF A SPHERE (1956) (39)
Note on the classification of cross-sections (1966) (38)
Euclidean Models of Projective Spaces (1971) (37)
Some embeddings of projective spaces (1959) (36)
ON THE ITERATED SUSPENSION (1954) (35)
Topologies and uniformities (1999) (34)
Bundles with Special Structure: I (1969) (34)
Asperger's Syndrome and High Achievement: Some Very Remarkable People (2005) (32)
Note on Fibre Spaces (1954) (31)
Multiplication on spheres. I (1957) (31)
The Intrinsic Join: A Study of the Homotopy Groups of Stiefel Manifolds (1958) (29)
COMPOSITION METHODS IN HOMOTOPY GROUPS OF SPHERES (1964) (29)
Singular scientists. (2003) (25)
The space of bundle maps (1963) (23)
Homotopy-abelian Lie groups (1960) (22)
The Mind of the Mathematician (2007) (22)
On spaces with a multiplication (1957) (21)
Remarkable Mathematicians: From Euler to von Neumann (2002) (20)
On Lie groups and their homotopy groups (1959) (19)
On the immersion problem for real projective spaces (1963) (19)
THE HOMOTOPY THEORY OF SPHERE BUNDLES OVER SPHERES (II) (1962) (18)
On sphere-bundles over spheres (1961) (18)
ON HOMOTOPY - COMMUTATIVITY (1967) (16)
On the enumeration of cross-sections (1966) (16)
CHAPTER 27 – Lusternik–Schnirelmann Category (1995) (15)
Introduction to Uniform Spaces: Index (1990) (14)
T1 - and T2 axioms for frames (1985) (14)
How general is a generalized space (1985) (14)
Whitehead products and vector-fields on spheres (1957) (14)
Autism and Mathematical Talent (2010) (13)
Products on spheres (1959) (13)
Fibrewise category (1991) (13)
WHICH LIE GROUPS ARE HOMOTOPY-ABELIAN? (1959) (13)
K-Dowker spaces (1985) (13)
Autism in mathematicians (2003) (12)
Remarkable Physicists: From Galileo to Yukawa (2004) (12)
On equivariant homotopy theory (1980) (12)
An Introduction to Fibrewise Homotopy Theory (1998) (11)
Homotopy-abelian topological groups (1962) (11)
HOMOLOGY WITH ZERO COEFFICIENTS (1958) (11)
Quasigroups and topology (1964) (10)
Note on Stiefel Manifolds I (1970) (10)
Claude Elwood Shannon 30 April 1916 — 24 February 2001 (2009) (10)
Driven to Innovate: A Century of Jewish Mathematicians and Physicists (2004) (9)
Aspects of topology: In Memory of Hugh Dowker 1912–1982 (1985) (9)
On the decomposability of fibre spaces (1970) (9)
Two problems studied by Heinz Hopf (1972) (9)
FILTRATION OF THE HOMOTOPY GROUPS OF SPHERES (1958) (8)
CHAPTER 19 – From Combinatorial Topology to Algebraic Topology (1999) (8)
On the Homotopy Type of Stiefel Manifolds (1971) (7)
The Transgression and Hopf Invariant of a Fibration (1961) (7)
Note on Factor Spaces (1953) (6)
Commutative products on spheres (1957) (6)
The Topology of Stiefel Manifolds: Index (1977) (6)
Relative Stiefel Manifolds (1976) (6)
On Homotopy-Commutativity (1962) (6)
On sphere-bundles. I (1969) (6)
On fibre spaces and nilpotency (1978) (6)
Autism and art. (2010) (5)
On the maps of one fibre space into another (1971) (5)
Reminiscences of a topologist (1990) (5)
Reflections on the history of topology (1996) (5)
Note on Stiefel Manifolds II (1971) (5)
Homotopy–commutativity in rotation groups (1962) (4)
Bibliography on H-spaces (1971) (4)
James Joseph Sylvester, F.R.S. (1814–1897) (1997) (4)
On Sphere‐Bundles II (1969) (4)
Products between homotopy groups (1971) (4)
ON SPHERE-BUNDLES WITH CERTAIN PROPERTIES (1971) (4)
Aspects of topology: General topology over a base (1985) (3)
On the Reduced Product Construction (1996) (3)
Suspension of transgression (1962) (3)
Submersions and immersions of manifolds (1967) (3)
On the Bott Suspension (1969) (3)
Organizing a conference (1991) (3)
CHAPTER 29 – Topologists at Conferences (1999) (3)
Bundles with Special Structure, II (1972) (3)
John Frank Adams (1997) (2)
Remarkable Engineers: From Riquet to Shannon (2010) (2)
A survey of metrization theory (1985) (2)
Portrait of Alexander (1888-1971) (2001) (2)
The Lusternik-Schnirelmann theorem reconsidered (1992) (2)
On fibre spaces and nilpotency. II (1979) (2)
Fibrewise Compactly-Generated Spaces (1995) (2)
On the homotopy-symmetry of sphere bundles (1971) (2)
On the homotopy type of Siefel manifolds (1971) (2)
On Mathematics, Music and Autism (2006) (2)
Which fibre spaces are decomposable (1975) (2)
Uniform Spaces Over a Base (1985) (2)
On fibre bundle and their homotopy groups (1969) (2)
Combinatorial Topology Versus Point-Set Topology (2001) (2)
Introduction to Uniform Spaces: Introduction (1990) (2)
CHAPTER 32 – Some Topologists (1999) (2)
CHAPTER 4 – Introduction to Fibrewise Homotopy Theory (1995) (1)
Fixed-point Methods (1998) (1)
Fibrewise reduced product spaces (1992) (1)
SURGERY ON SIMPLY‐CONNECTED MANIFOLDS (1974) (1)
Special group automorphisms and special self-homotopy equivalences (1985) (1)
Embeddings of real projective spaces (1958) (1)
The Bott suspension (1977) (1)
On fibrewise homotopy theory (1994) (1)
A geometrical approach to degree theory and the Leray-Schauder index (1985) (1)
Presidential Address: Spaces (1986) (1)
P-embedding, LCn spaces and the homotopy extension property (1985) (1)
Topology: past, present and future (1989) (1)
Obituary: Clifford Hugh Dowker (1985) (1)
Topological Topics: Articles on algebra and topology presented to Professor P.J. Hilton in celebration of his sixtieth birthday (1983) (1)
Introduction to Uniform Spaces: Uniform transformation groups (1990) (0)
The Induced Topology and Its Dual (1987) (0)
Remarkable Engineers: From Trevithick to Sadi Carnot (2010) (0)
Remarkable Engineers: Preface (2010) (0)
Remarkable Engineers: From Pal'chinskii to Zworykin (2010) (0)
Topological Topics: Publications of P.J. Hilton (1983) (0)
Remarkable Engineers: Bibliography (2010) (0)
Cofibrations and Fibrations (1984) (0)
From Kelvin to Boltzmann (2004) (0)
Remarkable Physicists: Acknowledgements (2004) (0)
Review: Morris W. Hirsch, Differential topology (1977) (0)
The Topology of Stiefel Manifolds: Cross-sections and the S-type (1977) (0)
Continuous functions of several variable (1990) (0)
ON STUNTED REAL PROJECTIVE SPACES (1974) (0)
Advances in homotopy theory : proceedings of a conference in honour of the 60th birthday of I.M. James (1989) (0)
Remarkable Engineers: From Diesel to Marconi (2010) (0)
Topological Transformation Groups (1984) (0)
Remarkable Engineers: Image credits (2010) (0)
The Topology of Stiefel Manifolds: The main theorem of J-theory (1977) (0)
Note on the literature (1989) (0)
The Topology of Stiefel Manifolds: Retractible fibrations (1977) (0)
Treasurer's Report to the Society (1973) (0)
Some problems in algebraic topology (1967) (0)
Countability and Related Topics (1987) (0)
The Notion of Homotopy (1984) (0)
The Topology of Stiefel Manifolds: Further results and problems (1977) (0)
The Topology of Stiefel Manifolds: Exponential characteristic classes (1977) (0)
Fourth topology symposium (1981) (0)
Homological Algebra. By Henri Cartan and Samuel Eilenberg. Pp. 390. 45s. 1956. (Princeton University Press) (1957) (0)
The Topology of Stiefel Manifolds: Cannibalistic characteristic classes (1977) (0)
Introduction to Uniform Spaces: Uniform covering spaces (1990) (0)
Remarkable Engineers: From Jessop to Marc Isambard Brunel (2010) (0)
Fibrewise topology: Miscellaneous topics (1989) (0)
Remarkable Engineers: From Gabor to Shannon (2010) (0)
The Topology of Stiefel Manifolds: The intrinsic join again (1977) (0)
Remarkable Physicists: Preface (2004) (0)
From Millikan to Einstein (2004) (0)
Lectures on Homotopy Theory (1992) (0)
Remarkable Engineers: From Braun to Hertz (2010) (0)
Obituary: Claude Elwood Shannon 1916–2001 (2014) (0)
General Topology.@@@General Topology and Homotopy Theory.@@@Topology. (1987) (0)
The Axioms of Topology (1984) (0)
The Topology of Stiefel Manifolds: Thom spaces (1977) (0)
The whitehead Heritage (1997) (0)
The Topology of Stiefel Manifolds: Homotopy-commutativity (1977) (0)
The Topology of Stiefel Manifolds: The auxiliary spaces (1977) (0)
Remarkable Physicists: From Franklin to Laplace (2004) (0)
Completeness and Completion (1987) (0)
The Topology of Stiefel Manifolds: Bibliography (1977) (0)
The Topology of Stiefel Manifolds: The Stiefel manifolds (1977) (0)
The Topology of Stiefel Manifolds: The iterated suspension (1977) (0)
Remarkable Engineers: Epilogue (2010) (0)
The Topology of Stiefel Manifolds: Homotopy equivariance (1977) (0)
John Frank Adams, 5 November 1930 - 7 January 1989 (1990) (0)
Introduction to Uniform Spaces: The uniform topology (1990) (0)
The Topology of Stiefel Manifolds: Introduction: algebra versus topology (1977) (0)
Introduction to Uniform Spaces: Topological groups (1990) (0)
Introduction to Uniform Spaces: Appendix: filters (1990) (0)
The Topology of Stiefel Manifolds: Samelson products (1977) (0)
The Uniform Topology (1987) (0)
Extensors and Neighbourhood Extensors (1984) (0)
The Basic Framework (1984) (0)
Introduction to Uniform Spaces: Bibliography (1990) (0)
Introduction to Uniform Spaces: Uniform structures (1990) (0)
The Topology of Stiefel Manifolds: Preface (1977) (0)
Remarkable Physicists: Further Reading (2004) (0)
The Topology of Stiefel Manifolds: Canonical automorphisms (1977) (0)
Fiberwise configuration spaces (1992) (0)
Fibrewise topology: Basic fibrewise topology (1989) (0)
Fibrewise topology: Fibrewise uniform spaces (1989) (0)
Remarkable Physicists: Collections (2004) (0)
Remarkable Biologists: From Ray to Hamilton (2009) (0)
Remarkable Physicists: From Ohm to Helmholtz (2004) (0)
The Topology of Stiefel Manifolds: The Hopf construction (1977) (0)
Mary Wynne Warner (1932–1998) (2002) (0)
Introduction to Uniform Spaces: Induced and coinduced uniform structures (1990) (0)
Book Review: Homotopy type and homology (1997) (0)
The Topology of Stiefel Manifolds: When is Pn, k neutral? (1977) (0)
Spaces Under and Spaces Over (1984) (0)
The Topology of Stiefel Manifolds: Relative Stiefel manifolds (1977) (0)
Comparative prices of mathematical journals (1980) (0)
When is Vn, 2 neutral? (1977) (0)
Functional Separation Conditions (1987) (0)
Remarkable Physicists: From Ehrenfest to Schrödinger (2004) (0)
Open Functions and Closed Functions (1987) (0)
Remarkable Physicists: From de Broglie to Fermi (2004) (0)
Remarkable Physicists: From Galileo to Daniel Bernoulli (2004) (0)
Prof. J. H. C. Whitehead, F.R.S. (1960) (0)
The triviality problem (1977) (0)
Remarkable Engineers: From Riquet to Watt (2010) (0)
Lectures on algebraic and differential topology, delivered at the II. ELAM (1972) (0)
Remarkable Engineers: Prologue (2010) (0)
Remarkable Physicists: Epilogue (2004) (0)
The Topology of Stiefel Manifolds: The fibre suspension (1977) (0)
Remarkable Engineers: Credits (2010) (0)
Remarkable Physicists: From Röntgen to Marie Curie (2004) (0)
Remarkable Engineers: From Henry to Bazalgette (2010) (0)
Some thoughts on lattice valued functions and relations (1985) (0)
The Pointed Theory (1998) (0)
From Heisenberg to Yukawa (2004) (0)
General topology and homotopy theory / I.M. James (1984) (0)
Remarkable Engineers: From Eads to Bell (2010) (0)
The mathematical works of J.H.C. Whitehead (1965) (0)
Introduction to Uniform Spaces: Uniform spaces over a base (1990) (0)
Fibrewise topology: Further fibrewise topology (1989) (0)
Remarkable Physicists: From Rumford to Oersted (2004) (0)

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Other Resources About Ioan James

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What Schools Are Affiliated With Ioan James?

Ioan James is affiliated with the following schools:

University of Oxford