E algebras and p-adic homotopy theory

By Michael A. Mandell. 2001

166 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6a172cf533c1cc2398ca2c7033a138ca41f14901

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Citations in the corpus

Combinatorial operad actions on cochains (2001, background): “t the following weaker property: 3.1.8. Fact: The canonical morphism A −→A∨P(C(n)) is a weak equivalence if A is a cell-algebra. These issues are discussed by H. Hinich (cf. [12]) and M. Mandell (cf. [18])to whom we refer for the notion of a cell-algebra. We just observe that, in the situation of as”
Homotopy completion and topological Quillen homology of structured ring spectra (2011, background): “The TQcompletion construction can be thought of as a spectral algebra analog of Sullivan’s localization and completion of spaces, Bousfield-Kan’s completion of spaces with respect to homology, and Carlsson’s and Arone-Kankaanrinta’s completion and localization of spaces with respect to stable homoto”
Homotopy Theory of A∞ Ring Spectra and Applications to MU-Modules (2001, methodology): “For instance, Mandell used them in [ 14 ] to give an algebraic characterization of the category of p-complete nilpotent spaces.”
Cochains and homotopy type (2003, methodology): “Similarly [ 9 ] proves that the full subcategory of the p-adic homotopy category ( p-equivalences formally inverted) of finite type nilpotent spaces embeds as a full subcategory of the homotopy category of E∞ ¯”
Homotopy theory of modules over operads in symmetric spectra (2007, background): “Other possible notations for OA include UO(A) or U(A); these are closer to the notation used in [6, 27] and are not to be confused with the forgetful functors.”
Units of ring spectra and Thom spectra (2008, methodology): “trum Zof the homotopy type of a CW-spectrum is tame. For a general coﬁbrant X, the argument proceeds by reducing to the free case X= CZ. In this paper, we present an inductive argument due to Mandell [Mand97]. A diﬀerent induction of this sort appeared in [Mand03] in the algebraic setting; that argu”
Axiomatic homotopy theory for operads (2002, unknown): “Mandell [13], Kontsevich–Soibelman [12], Hinich [10], and others.”
Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory (2014, unknown): “trum Zof the homotopy type of a CW-spectrum is tame. For a general coﬁbrant X, the argument proceeds by reducing to the free case X= CZ. In this paper, we present an inductive argument due to Mandell [29]. A diﬀerent induction of this sort appeared in [30] in the algebraic setting; that argument can”