nLab Joseph A. Zilber

Joseph Abraham Zilber defended his PhD thesis at Harvard University in 1963. He was advised by Andrew Gleason and Raoul Bott.

Selected writings

Introducing simplicial sets and semi-simplicial sets (see the historical remarks here):

• Samuel Eilenberg, Joseph Zilber, Semi-Simplicial Complexes and Singular Homology, Annals of Mathematics vol. 51 no. 3 (1950), 499–513 (jstor:1969364)

Introducing the Eilenberg-Zilber theorem:

• Samuel Eilenberg, Joseph Zilber, On Products of Complexes, Amer. Jour. Math. 75 (1): 200–204, (1953) (jstor:2372629)

Related $n$Lab entries

• Eilenberg-Zilber theorem

• Eilenberg-Zilber lemma?

• Elkins-Zilber theorem? (1976): two small categories are Morita equivalent

  if and only if their idempotent completions are equivalent.