Proper equivariant stable homotopy theory

This monograph introduces a framework for genuine proper equivariant stable homotopy theory for Lie groups. The adjective ‘proper’ alludes to the feature that equivalences are tested on compact subgroups, and that the objects are built from equivariant cells with compact isotropy groups; the adjecti...

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Bibliographische Detailangaben
1. Verfasser:	Degrijse, Dieter (VerfasserIn)
Weitere Verfasser:	Hausmann, Markus (VerfasserIn), Lück, Wolfgang (VerfasserIn), Ratchkoria, Irakli (VerfasserIn), Schwede, Stefan (VerfasserIn)
Format:	UnknownFormat
Sprache:	eng
Veröffentlicht:	Providence, RI American Mathematical Society 2023
Schriftenreihe:	Memoirs of the American Mathematical Society volume 288, number 1432 (August 2023)
Schlagworte:	Äquivariante stabile Homotopietheorie > Lie-Gruppe > Kompakte Untergruppe > Spektrum > CW-Komplex
Online Zugang:	Inhaltsverzeichnis zbMATH
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Beschreibung
Zusammenfassung:	This monograph introduces a framework for genuine proper equivariant stable homotopy theory for Lie groups. The adjective ‘proper’ alludes to the feature that equivalences are tested on compact subgroups, and that the objects are built from equivariant cells with compact isotropy groups; the adjective ‘genuine’ indicates that the theory comes with appropriate transfers and Wirthmüller isomorphisms, and the resulting equivariant cohomology theories support the analog of an -grading.
Beschreibung:	Literaturangaben August 2023, volume 288, number 1432 (fourth of 6 numbers)
Beschreibung:	vi, 142 Seiten
ISBN:	9781470467043 978-1-4704-6704-3