Estimates for homological dimension of configuration spaces of graphs

• Autorzy: Jacek Świątkowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 51F99: None of the above, but in this section
• 20J05: Homological methods in group theory
• 55M10: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 89
• Numer: 1
• Strony: 69-79

Daty

wydano

2001

Twórcy

autor

Jacek Świątkowski

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm89-1-5