Calculating the Fundamental Group of an Orbit Space

DOI10.2307/2043677zbMath0505.57017OpenAlexW4252002368MaRDI QIDQ4742005

M. A. Armstrong

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043677

zbMATH Keywords

effective discontinuous group actionsfundamental group of an orbit spacepath lifting property up to homotopy

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Homotopy groups, general; sets of homotopy classes (55Q05) Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30) Fiber spaces in algebraic topology (55R05)

Related Items

A decomposition theorem for smoothable varieties with trivial canonical class ⋮ Equivariant basic cohomology under deformations ⋮ The fundamental group of the orbit space ⋮ Quotients of groupoids by an action of a group ⋮ Fundamental groups of topological stacks with the slice property ⋮ Manifolds on Which Only Tori Can Act ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics ⋮ Enriques surfaces and a construction of surfaces of general type with \(p_ g=0\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of slices for actions of non-compact Lie groups
• A Note on Open Maps
• On the Fundamental Group of a Transformation Group