DOAJ Open Access 2014

Bucshbaum simplicial posets

Jonathan Browder Steven Klee

Lihat Sumber DOI

Abstrak

The family of Buchsbaum simplicial posets generalizes the family of simplicial cell manifolds. The $h'-$vector of a simplicial complex or simplicial poset encodes the combinatorial and topological data of its face numbers and the reduced Betti numbers of its geometric realization. Novik and Swartz showed that the $h'-$vector of a Buchsbaum simplicial poset satisfies certain simple inequalities. In this paper we show that these necessary conditions are in fact sufficient to characterize the h'-vectors of Buchsbaum simplicial posets with prescribed Betti numbers.

Topik & Kata Kunci

Mathematics

Penulis (2)

Jonathan Browder

Steven Klee

Format Sitasi

APA MLA BibTeX

Browder, J., Klee, S. (2014). Bucshbaum simplicial posets. https://doi.org/10.46298/dmtcs.2452

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2452

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2452
Akses: Open Access ✓