Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

zbMath1462.55001arXiv1908.04949MaRDI QIDQ5220048

Mark Grant, Hellen Colman, Andrés Ángel, John F. Oprea

Publication date: 10 March 2020

Full work available at URL: https://arxiv.org/abs/1908.04949

zbMATH Keywords

Morita equivalencetopological complexityLusternik-Schnirelmann categoryequivariant topological complexityequivariant L-S category

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Equivariant homotopy theory in algebraic topology (55P91)

Related Items

\(G\)-category versus orbifold category, Symmetric configuration spaces of linkages

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some aspects of equivariant LS-category
• Transformation groups
• Orbifolds, sheaves and groupoids
• Topological complexity of motion planning
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• Equivariant topological complexity
• On higher analogs of topological complexity
• Microbundles
• Translation Groupoids and Orbifold Cohomology
• Presentations of noneffective orbifolds
• Equivariant topological complexities
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Universal Equivariant Bundles
• Invariant topological complexity
• On equivariant and invariant topological complexity of smooth ℤ/_{𝕡}-spheres
• The genus of a fiber space
• The classification of 𝐺-spaces