Custom cover image
Custom cover image

Equivariant infinite loop space theory : the space level story / J. Peter May, Mona Merling, Angélica M. Osorno

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 305, number 1540 (January 2025)Publisher: Providence, RI : American Mathematical Society, January 2025Description: v, 136 SeitenISBN:
  • 9781470472481
Subject(s): Additional physical formats: Erscheint auch als: Equivariant infinite loop space theory. Online-Ausgabe Providence, RI : American Mathematical Society, 2025. 1 Online-Ressource (v, 136 Seiten)MSC: MSC: 55P42 | 55P43 | 55P91 | 18A25 | 18E30 | 55P48 | 55U35RVK: RVK: SI 130Summary: We rework and generalize equivariant infinite loop space theory, which shows how to construct G-spectra from G-spaces with suitable structure. There is a classical version which gives classical Ω-G-spectra for any topological group G, but our focus is on the construction of genuine Ω-G-spectra when G is finite. We also show what is and is not true when G is a compact Lie group. We give new information about the Segal and operadic equivariant infinite loop space machines, supplying many details that are missing from the literature, and we prove by direct comparison that the two machines give equivalent output when fed equivalent input. The proof of the corresponding nonequivariant uniqueness theorem, due to May and Thomason, works for classical G-spectra for general G but fails for genuine G-spectra. Even in the nonequivariant case, our comparison theorem is considerably more precise, giving an illuminating direct point-set level comparison. We have taken the opportunity to update this general area, equivariant and nonequivariant, giving many new proofs, filling in some gaps, and giving a number of corrections to results and proofs in the literature.PPN: PPN: 1918888507
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-305.2025,1540 Nicht ausleihbar
Total holds: 0
KIT – The Research University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT