Topological complexity, fibrations and symmetry

Mark Grant

doi:10.1016/j.topol.2011.07.025

Topological complexity, fibrations and symmetry

Mark Grant^*

^*Corresponding author for this work

School of Mathematics

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

Abstract

We show how locally smooth actions of compact Lie groups on a manifold X can be used to obtain new upper bounds for the topological complexity TC(X), in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups. (C) 2011 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	88-97
Number of pages	10
Journal	Topology and its Applications
Volume	159
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2011.07.025
Publication status	Published - 1 Jan 2012

Keywords

Topological complexity
Fibrations
Transformation groups
LUSTERNIK-SCHNIRELMANN CATEGORY
ROBOT MOTION

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10.1016/j.topol.2011.07.025

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title = "Topological complexity, fibrations and symmetry",

abstract = "We show how locally smooth actions of compact Lie groups on a manifold X can be used to obtain new upper bounds for the topological complexity TC(X), in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups. (C) 2011 Elsevier B.V. All rights reserved.",

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AB - We show how locally smooth actions of compact Lie groups on a manifold X can be used to obtain new upper bounds for the topological complexity TC(X), in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups. (C) 2011 Elsevier B.V. All rights reserved.

KW - Topological complexity

KW - Fibrations

KW - Transformation groups

KW - LUSTERNIK-SCHNIRELMANN CATEGORY

KW - ROBOT MOTION

U2 - 10.1016/j.topol.2011.07.025

DO - 10.1016/j.topol.2011.07.025

M3 - Article

VL - 159

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EP - 97

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 1

ER -

Topological complexity, fibrations and symmetry

Abstract

Keywords

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