Orbittypen und äquivariante Homologie. I

DOI10.1007/BF01304886zbMath0252.55003OpenAlexW4254377585MaRDI QIDQ2557506

Tammo tom Dieck

Publication date: 1972

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01304886

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological transformation groups (57S99) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (22)

Cardinal-indexed classifying spaces for families of subgroups of any topological group ⋮ Äquivariante Homotopie, äquivarianter Bordismus und freie differenzierbare Involutionen auf Sphären ⋮ Bordismentheorie stabil gerahmter G-Mannigfaltigkeiten ⋮ Computing equivariant homotopy with a splitting method ⋮ Proper Equivariant Stable Homotopy Theory ⋮ Matrix group integrals, surfaces, and mapping class groups. II: \( \mathrm{O}\left( n\right)\) and \(\mathrm{Sp}\left( n\right) \) ⋮ Equivariant complex bundles, fixed points and equivariant unitary bordism ⋮ Finiteness conditions in Bredon cohomology ⋮ Orbittypen und äquivariante Homologie. II ⋮ Smooth compact Lie group actions on disks ⋮ On the Farrell-Jones conjecture for higher algebraic 𝐾-theory ⋮ Zerspaltung äquivarianter Homotopiemengen ⋮ A filtration of spectra arising from families of subgroups of symmetric groups ⋮ A universal proper G-space ⋮ Equivariant Stable Homotopy and Framed Bordism ⋮ Periodische Abbildungen unitärer Mannigfaltigkeiten. (Periodic mappings of unitary manifolds) ⋮ Equivariant homology and Mackey functors ⋮ Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\) ⋮ Characteristic numbers of G-manifolds. II ⋮ Bordismengruppen unitärer Torusmannigfaltigkeiten ⋮ Über ganzzahlige Permutationsdarstellungen einiger endlicher Gruppen ⋮ Families of subgroups and completion

Cites Work

• Unnamed Item
• Unnamed Item
• Construction of universal bundles. II
• Klassifikation numerierbarer Bündel
• Maps of odd period
• The index of elliptic operators. II
• Faserbündel mit Gruppenoperation
• Equivariant K-theory
• Partitions of unity in the theory of fibrations
• Bordism of \(G\)-manifolds and integrality theorems
• Characteristic numbers of G-manifolds. I
• Lokalisierung äquivarianter Kohomologie-Theorien. (Localization of equivariant cohomology theories.)
• Cobordism of group actions
• Unoriented bordism and actions of finite groups
• The classification of 𝐺-spaces

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