Topological complexity of motion planning and Massey products

• Autorzy: Mark Grant
• Języki publikacji: EN

Abstrakty

EN

We employ Massey products to find sharper lower bounds for the Schwarz genus of a fibration than those previously known. In particular we give examples of non-formal spaces X for which the topological complexity TC(X) (defined to be the genus of the free path fibration on X) is greater than the zero-divisors cup-length plus one.

Kategorie tematyczne

• 55M99: None of the above, but in this section
• 55S30: Massey products
• 68T40: Robotics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 193-203

Daty

wydano

2009

Twórcy

autor

Mark Grant

• School of Mathematics, The University of Edinburgh, King's Buildings, Edinburgh, EH9 3JZ, UK

Identyfikatory

DOI

10.4064/bc85-0-14