Classifying Spaces for Foliations with Isolated Singularities

DOI10.2307/2000721zbMath0626.58030OpenAlexW4230156913MaRDI QIDQ3029863

Peter Greenberg

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000721

zbMATH Keywords

orientation-preserving, piecewise linear homeomorphismstransitive pseudogroups

Mathematics Subject Classification ID

Homotopy theory (55P99) Pseudogroups and differentiable groupoids (58H05)

Related Items (11)

Homology of jet groups ⋮ Piecewise projective homeomorphisms and a noncommutative Steinberg extension ⋮ On the bordism group for group actions on the torus ⋮ Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups ⋮ Torsion and periods in some groups of homeomorphisms of the circle ⋮ Marked homeomorphisms and the realization problem ⋮ The Godbillon-Vey invariant and the foliated cobordism group ⋮ Area functionals and Godbillon-Vey cocycles ⋮ PL-representations of Anosov foliations ⋮ Generators and relations in the classifying space for pl foliations ⋮ Homology of some groups of PL-homeomorphisms of the line

Cites Work

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• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Homology fibrations and the 'group-completion' theorem
• Classifying spaces related to foliations
• Homotopy limits and colimits
• Categories and cohomology theories
• Integrability in codimension 1
• Classifying spaces and spectral sequences
• Homotopy limits, completions and localizations
• Loops on the Classifying Space for Foliations
• First quadrant spectral sequences in algebraic k-theory via homotopy colimits
• Homotopy colimits in the category of small categories
• Automorphisms of finite groups

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