Face enumeration—from spheres to manifolds
Journal of the European Mathematical Society, Tome 11 (2009) no. 3, pp. 449-485.

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We prove a number of new restrictions on the enumerative properties of homology manifolds and semi-Eulerian complexes and posets. These include a determination of the affine span of the fine h-vector of balanced semi-Eulerian complexes and the toric h-vector of semi-Eulerian posets.
DOI : 10.4171/jems/156
Classification : 57-XX, 05-XX, 00-XX
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     author = {Ed Swartz},
     title = {Face enumeration{\textemdash}from spheres to manifolds},
     journal = {Journal of the European Mathematical Society},
     pages = {449--485},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2009},
     doi = {10.4171/jems/156},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/156/}
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Ed Swartz. Face enumeration—from spheres to manifolds. Journal of the European Mathematical Society, Tome 11 (2009) no. 3, pp. 449-485. doi : 10.4171/jems/156. http://geodesic.mathdoc.fr/articles/10.4171/jems/156/

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