For some early very related classifications (ordered chronologically) see 

 1. [Neighborly 4-polytopes with 9 vertices][3] Altshuler and  Steinberg - *J Comb Theory, Series A*, 1973‏ 

 2. [An enumeration of combinatorial 3-manifolds with nine vertices][4] Altshuler and Steinberg, *Discrete Math*, 1976

 3. [Neighborly 4-polytopes and neighborly combinatorial 3-manifolds with ten vertices][2], Altshuler, *Canad J Math* 1977

 4. [The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes][1],  Altshuler, Bokowski and Steinberg,  *Discrete Math*, 1980

 5. [The complete enumeration of the 4-polytopes and 3-spheres with eight vertices][6], Altshuler and Steinberg, *Pacific J Math*, 1985‏ 

 6. [Neighborly 2-manifolds with 12 vertices][5]
Altshuler, Bokowski and Schuchert, *J Comb Theory, Series A*, 1996‏ 



  [1]: http://www.sciencedirect.com/science/article/pii/0012365X80900291
  [2]: http://cms.math.ca/10.4153/CJM-1977-043-5
  [3]: http://www.sciencedirect.com/science/article/pii/0097316573900745
  [4]: http://www.sciencedirect.com/science/article/pii/0012365X76901382
  [5]: http://www.sciencedirect.com/science/article/pii/S0097316596900692
  [6]: http://projecteuclid.org/euclid.pjm/1102706924