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G-homotopy types of G-complexes and representations of G-cohomology theories

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Publication:1257235
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DOI10.2977/prims/1195189283zbMath0405.55003OpenAlexW2049572445MaRDI QIDQ1257235

Mitutaka Murayama, Shoro Araki

Publication date: 1978

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195189283


zbMATH Keywords

Cohomology TheoriesEquivariant Cw-ComplexesEquivariant De-SpectraEquivariant Homotopy TypeRepresentability of Equivariant


Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Finite transformation groups (57S17) Homology with local coefficients, equivariant cohomology (55N25)


Related Items (3)

A note on Rhodes and Gottlieb-Rhodes groups ⋮ S-duality in tau-cohomology theories ⋮ On the G-homotopy types of G-ANR's



Cites Work

  • Unnamed Item
  • Unnamed Item
  • The geometric realization of a semi-simplicial complex
  • Cohomology theories
  • Equivariant cohomology theories on G-CW complexes
  • Equivariant cohomology theories
  • A variant of E. H. Brown's representability theorem
  • On Spaces Having the Homotopy Type of a CW-Complex
  • Abstract Homotopy Theory


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