Topological complexity of motion planning and Massey products
Banach Center Publications (2009)
- Volume: 85, Issue: 1, page 193-203
- ISSN: 0137-6934
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topMark Grant. "Topological complexity of motion planning and Massey products." Banach Center Publications 85.1 (2009): 193-203. <http://eudml.org/doc/282577>.
@article{MarkGrant2009,
abstract = {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.},
author = {Mark Grant},
journal = {Banach Center Publications},
keywords = {topological complexity; Schwarz genus; weights of cohomology classes; Massey products},
language = {eng},
number = {1},
pages = {193-203},
title = {Topological complexity of motion planning and Massey products},
url = {http://eudml.org/doc/282577},
volume = {85},
year = {2009},
}
TY - JOUR
AU - Mark Grant
TI - Topological complexity of motion planning and Massey products
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 193
EP - 203
AB - 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.
LA - eng
KW - topological complexity; Schwarz genus; weights of cohomology classes; Massey products
UR - http://eudml.org/doc/282577
ER -
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