Mathematician:James Waddell Alexander II
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Mathematician
American mathematician who did pioneering work in topology and knot theory.
Nationality
American
History
- Born: 19 Sept 1888, Sea Bright, New Jersey, USA
- Died: 23 Sept 1971, Princeton, New Jersey, USA
Theorems and Definitions
- Alexander Polynomial
- Alexander-Conway Polynomial (with John Horton Conway) (a variant of the Alexander Polynomial)
- Alexander's Compactness Theorem, also known as Alexander's Sub-Basis (or Subbase) Theorem
- Alexander Duality
- Alexander's Trick
Results named for James Waddell Alexander II can be found here.
Definitions of concepts named for James Waddell Alexander II can be found here.
Publications
- 1915: Functions which map the interior of the unit circle upon simple regions
- 1924: An Example of a Simply Connected Surface Bounding a Region which is not Simply Connected (Proceedings of the National Academy of Sciences Vol. 10 (1): pp. 8 – 10) (in which the definition of Alexander Horned Sphere is presented)
- 1924: Remarks on a Point Set Constructed by Antoine (Proceedings of the National Academy of Sciences Vol. 10 (1): pp. 10 – 12) (in which the definition of Antoine Horned Sphere is presented)
- 1926: Combinatorial analysis situs
- 1928: Topological invariants of knots and links
- 1935: On the Chains of a Complex and Their Duals (Proceedings of the National Academy of Sciences Vol. 21 (8): pp. 509 – 511)
Sources
- John J. O'Connor and Edmund F. Robertson: "James Waddell Alexander II": MacTutor History of Mathematics archive
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Alexander's sub-base theorem
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Alexander, James Waddell (1888-1971)