On modular homology of simplicial complexes: Saturation

Johannes Siemons; Valery Mnukhin

doi:10.1006/jcta.2001.3247

On modular homology of simplicial complexes: Saturation

Johannes Siemons, Valery Mnukhin

Algebra and Combinatorics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

12 Downloads (Pure)

Abstract

Among shellable complexes a certain class is shown to have maximal modular homology, and these are the so-called saturated complexes. We show that certain conditions on the links of the complex imply saturation. We prove that Coxeter complexes and buildings are saturated.

Original language	English
Pages (from-to)	377-394
Number of pages	18
Journal	Journal of Combinatorial Theory, Series A
Volume	98
Issue number	2
DOIs	https://doi.org/10.1006/jcta.2001.3247
Publication status	Published - 2002

Access to Document

10.1006/jcta.2001.3247Licence: Other

On_modular_homology_of_simplicial_complexes-saturation-2002.pdfFinal published version, 355 KBLicence: Other

Cite this

@article{17d7e2ebd703470c96ba5db54f3d7f67,

title = "On modular homology of simplicial complexes: Saturation",

abstract = "Among shellable complexes a certain class is shown to have maximal modular homology, and these are the so-called saturated complexes. We show that certain conditions on the links of the complex imply saturation. We prove that Coxeter complexes and buildings are saturated.",

author = "Johannes Siemons and Valery Mnukhin",

year = "2002",

doi = "10.1006/jcta.2001.3247",

language = "English",

volume = "98",

pages = "377--394",

journal = "Journal of Combinatorial Theory, Series A",

issn = "0097-3165",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On modular homology of simplicial complexes: Saturation

AU - Siemons, Johannes

AU - Mnukhin, Valery

PY - 2002

Y1 - 2002

N2 - Among shellable complexes a certain class is shown to have maximal modular homology, and these are the so-called saturated complexes. We show that certain conditions on the links of the complex imply saturation. We prove that Coxeter complexes and buildings are saturated.

AB - Among shellable complexes a certain class is shown to have maximal modular homology, and these are the so-called saturated complexes. We show that certain conditions on the links of the complex imply saturation. We prove that Coxeter complexes and buildings are saturated.

U2 - 10.1006/jcta.2001.3247

DO - 10.1006/jcta.2001.3247

M3 - Article

VL - 98

SP - 377

EP - 394

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

SN - 0097-3165

IS - 2

ER -