On the \(S^ 1\)-Segal conjecture

DOI10.2977/prims/1195182024zbMath0568.55015OpenAlexW2230148117WikidataQ123296053 ScholiaQ123296053MaRDI QIDQ1060463

Goro Nishida

Publication date: 1983

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/1195182024

zbMATH Keywords

Segal conjecturestable cohomotopy\(S^ 1\)-transferequivariant stable homotopy groupSegal conjecture for nonfinite groupsstable homotopy of \(BS^ 1\)

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Stable homotopy groups (55Q10) Equivariant homotopy groups (55Q91) Transfer for fiber spaces and bundles in algebraic topology (55R12) Cohomotopy groups (55Q55)

Related Items

On the I(G)-adic topology of the Burnside ring of compact Lie groups, On the homotopy inverse limits of transfer maps, Higher topological cyclic homology and the Segal conjecture for tori, On the homotopy fixed point problem for free loop spaces and other function complexes, Group homomorphisms inducing an isomorphism of a functor, Stable Splittings of the Dual Spectrum of the Classifying Space of a Compact Lie Group, The Relative Burnside Module and the Stable Maps Between Classifying Spaces of Compact Lie Groups

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