nLab James W. Alexander

James Waddell Alexander was an American topologist and geometer.

• Wikipedia page

Selected writings

On $n$-manifolds as branched covers of the n-sphere:

• James W. Alexander, Note on Riemann spaces, Bull. Amer. Math. Soc. 26 (1920) 370–373

Introducing Alexander's trick:

• James W. Alexander, On the Deformation of an $n$ Cell, Proc Natl Acad Sci USA. 9 12 (1923) 406–407 [doi:10.1073%2Fpnas.9.12.406 ]

Introducing the Alexander polynomial:

• James W. Alexander, Topological invariants of knots and links, Trans. Amer. Math. Soc. 30 (1928) 275-306 $[$doi:10.1090/S0002-9947-1928-1501429-1$]$

Introducing singular homology/singular cohomology via chain homology/cochain cohomology:

• J. W. Alexander, On the chains of a complex and their duals, Proc. Nat. Acad. Sei. USA 21 (1935), 509–511 (doi:10.1073/pnas.21.8.50)

• J. W. Alexander, On the ring of a compact metric space, Proc. Nat. Acad. Sci. USA 21 (1935), 511–512 (doi:10.1073/pnas.21.8.511)

• J. W. Alexander, On the connectivity ring of an abstract space, Ann. of Math. 37 (1936), 698–708 (doi:10.2307/1968484, pdf)

Related n-Lab entries

• Alexander polynomial

• Alexander-Čech duality

• Alexander-Whitney map

• branched cover

category: people