Estimates for homological dimension of configuration spaces of graphs

Jacek Świątkowski

Colloquium Mathematicae (2001)

  • Volume: 89, Issue: 1, page 69-79
  • ISSN: 0010-1354

Abstract

top
We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.

How to cite

top

Jacek Świątkowski. "Estimates for homological dimension of configuration spaces of graphs." Colloquium Mathematicae 89.1 (2001): 69-79. <http://eudml.org/doc/283602>.

@article{JacekŚwiątkowski2001,
abstract = {We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.},
author = {Jacek Świątkowski},
journal = {Colloquium Mathematicae},
keywords = {homological dimension; -spaces; cube complexes},
language = {eng},
number = {1},
pages = {69-79},
title = {Estimates for homological dimension of configuration spaces of graphs},
url = {http://eudml.org/doc/283602},
volume = {89},
year = {2001},
}

TY - JOUR
AU - Jacek Świątkowski
TI - Estimates for homological dimension of configuration spaces of graphs
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 1
SP - 69
EP - 79
AB - We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.
LA - eng
KW - homological dimension; -spaces; cube complexes
UR - http://eudml.org/doc/283602
ER -

NotesEmbed ?

top

You must be logged in to post comments.