On \(f\)-vectors and relative homology
type: Item
instance of: scholarly article
title: On \(f\)-vectors and relative homology
zbMATH Open document ID: 0941.52012
DOI: 10.1023/A:1018687018440
author: Art M. Duval
published in: Journal of Algebraic Combinatorics
publication date: 2000-07-31T00:00:00Z
review text: The main results of this paper describe strong necessary conditions on which \(5\)-tuples of integer vectors can be the two \(f\)-vectors , two Betti sequences and one relative Betti sequence of a single pair of simplicial complexes. The conditions are not sufficient.
Mathematics Subject Classification ID: 52B70
zbMATH DE Number: 1334702
zbMATH Keywords: Betti numbers
zbMATH Keywords: simplicial complexes
MaRDI profile type: Publication
cites work: Q3825654
cites work: An extended Euler-Poincaré theorem
cites work: A combinatorial decomposition of simplicial complexes
cites work: Q4196436
cites work: Q3105730
cites work: Q4071752
cites work: Q5726070
cites work: Q3827224
cites work: Q3797807
cites work: A combinatorial decomposition of acyclic simplicial complexes
cites work: Combinatorics and commutative algebra.
full work available at URL: a:1018687018440
OpenAlex ID: W1509233598
description: scientific article; zbMATH DE number 1334702