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Homology of some groups of PL-homeomorphisms of the line

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Publication:584417
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DOI10.1016/0166-8641(89)90108-9zbMath0693.20047OpenAlexW2045198741MaRDI QIDQ584417

Peter Greenberg

Publication date: 1989

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90108-9

zbMATH Keywords

classifying spaceshomologypseudogroupscompactly supported piecewise linear homeomorphism of the real line


Mathematics Subject Classification ID

Homological methods in group theory (20J05) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Pseudogroups and differentiable groupoids (58H05)


Related Items

On certain homeomorphism groups



Cites Work

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  • Pseudo-mitotic groups
  • The topology of discrete groups
  • Homology fibrations and the 'group-completion' theorem
  • Every connected space has the homology of a \(K\) \((\pi,1)\)
  • Classifying spaces related to foliations
  • Integrability in codimension 1
  • The vanishing of the homology of certain groups of homeomorphisms
  • Homotopy limits, completions and localizations
  • Classifying Spaces for Foliations with Isolated Singularities
  • Adjoint Functors
  • Pseudogroups from Group Actions
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