Results 11 to 20 of about 147 (46)
The Chromatic Splitting Conjecture at n=p=2
, 2017 We show that the strongest form of Hopkins' chromatic splitting conjecture, as stated by Hovey, cannot hold at chromatic level n=2 at the prime p=2. More precisely, for V(0) the mod 2 Moore spectrum, we prove that the kth homotopy group of L_1L_{K(2)}V(0)
Beaudry, Agnes
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Localization of algebras over coloured operads [PDF]
, 2008 We give sufficient conditions for homotopical localization functors to preserve algebras over coloured operads in monoidal model categories. Our approach encompasses a number of previous results about preservation of structures under localizations, such ...
Casacuberta, Carles +4 more
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Atoms in the p-localization of stable homotopy category [PDF]
, 2014 We study p-localizations, where p is an odd prime, of the full subcategories Sⁿ of stable homotopy category formed by CW-complexes with cells in n successive dimensions.
Drozd, Y., Kolesnyk, P.
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Invertible modules for commutative $\mathbb{S}$-algebras with residue fields
, 2004 The aim of this note is to understand under which conditions invertible modules over a commutative S-algebra in the sense of Elmendorf, Kriz, Mandell and May give rise to elements in the algebraic Picard group of invertible graded modules over the ...
Baker, Andrew, Richter, Birgit
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Cosimplicial resolutions and homotopy spectral sequences in model categories [PDF]
, 2003 We develop a general theory of cosimplicial resolutions, homotopy spectral sequences, and completions for objects in model categories, extending work of Bousfield-Kan and Bendersky-Thompson for ordinary spaces. This is based on a generalized cosimplicial
Bousfield, A K
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On the construction of permutation complexes for profinite groups
, 2007 Goerss, Henn, Mahowald and Rezk construct a complex of permutation modules for the Morava stabilizer group G_2 at the prime 3. We describe how this can be done using techniques from homological algebra.Comment: This is the version published by Geometry &
Symonds, Peter
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Classifying spaces of compact Lie groups that are p-compact for all prime numbers
, 2007 We consider a problem on the conditions of a compact Lie group G that the loop space of the p-completed classifying space be a p-compact group for a set of primes. In particular, we discuss the classifying spaces BG that are p-compact for all primes when
Ishiguro, Kenshi
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Completed representation ring spectra of nilpotent groups
, 2009 In this paper, we examine the `derived completion' of the representation ring of a pro-p group G_p^ with respect to an augmentation ideal. This completion is no longer a ring: it is a spectrum with the structure of a module spectrum over the Eilenberg ...
Carlsson +7 more
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Cellularization of structures in stable homotopy categories
, 2011 We describe the formal properties of cellularization functors in triangulated categories and study the preservation of ring and module structures under these functors in stable homotopy categories in the sense of Hovey, Palmieri and Strickland, such as ...
Gutiérrez, Javier J.
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, 2011 We consider genera of polyhedra (finite cell complexes) in the stable homotopy category. Namely, the genus of a polyhedron X is the class of polyhedra Y such that all localizations of Y are stably isomorphic to the corresponding localizations of X.
Drozd, Yuriy, Kolesnik, Petro
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