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405
THE HOMOTOPY ORBIT SPECTRUM FOR PROFINITE GROUPS
"... Abstract. Let G be a profinite group. We define an S[[G]]module to be a Gspectrum X that satisfies certain conditions, and, given an S[[G]]module X, we define the homotopy orbit spectrum XhG. When G is countably based and X satisfies a certain finiteness condition, we construct a homotopy orbit s ..."
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)) is an S[[Gn]]module with an associated homotopy orbit spectral sequence. 1.
Differentials in the homological homotopy fixed point spectral sequence
, 2005
"... Abstract We analyze in homological terms the homotopy fixed point spectrum of a Tequivariant commutative Salgebra R. There is a homological homotopy fixed point spectral sequence with E2 s,t = H−s gp (T; Ht(R; Fp)), converging conditionally to the continuous homology H c s+t (RhT; Fp) of the homot ..."
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Cited by 11 (3 self)
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homology spectra R = THH(B) of many Salgebras, including B = MU, BP, ku, ko and tmf. Similar results apply for all finite subgroups C ⊂ T, and for the Tate and homotopy orbit spectral sequences. This work is part of a homological approach to calculating topological cyclic homology and algebraic K
Di®erentials in the homological homotopy ¯xed point spectral sequence
"... We analyze the homotopy ¯xed point spectrum of a Tequivariant commutative Salgebra R in homological terms. There is a homological homotopy ¯xed point spectral sequence with E2s;t = H ¡s gp (T;Ht(R;Fp)), converging conditionally to the continuous homology Hcs+t(R hT;Fp) of the homotopy ¯xed point s ..."
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(B) of many Salgebras, including B = MU, BP, ku, ko and tmf. Similar results apply for all ¯nite subgroups C T, and for the Tate and homotopy orbit spectral sequences. This work is part of a homological approach to calculating topological cyclic homology and algebraic Ktheory of commutative Salgebras.
Homotopy spectral sequences
 J. Homotopy Relat. Struct
"... Abstract. In homotopy theory, exact sequences and spectral sequences consist of groups and pointed sets, linked by actions. We prove that the theory of such exact and spectral sequences can be established in a categorical setting which is based on the existence of kernels and cokernels with respect ..."
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Cited by 1 (0 self)
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Abstract. In homotopy theory, exact sequences and spectral sequences consist of groups and pointed sets, linked by actions. We prove that the theory of such exact and spectral sequences can be established in a categorical setting which is based on the existence of kernels and cokernels with respect
Conditionally convergent spectral sequences, Homotopy invariant algebraic structures
 Contemp. Math
, 1998
"... Convergence criteria for spectral sequences are developed that apply more widely than the traditional concepts. In the presence of additional conditions that depend on data internal to the spectral sequence, they lead to satisfactory convergence and comparison theorems. The techniques apply to whole ..."
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Cited by 91 (0 self)
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Convergence criteria for spectral sequences are developed that apply more widely than the traditional concepts. In the presence of additional conditions that depend on data internal to the spectral sequence, they lead to satisfactory convergence and comparison theorems. The techniques apply
Stable homotopy and the Adams Spectral Sequence
"... i In the first part of the project, we define stable homotopy and construct the category of CWspectra, which is the appropriate setting ..."
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i In the first part of the project, we define stable homotopy and construct the category of CWspectra, which is the appropriate setting
Cosimplicial resolutions and homotopy spectral sequences in model categories
 GEOMETRY & TOPOLOGY
, 2003
"... ..."
On the Regular Slice Spectral Sequence
, 2013
"... In this thesis, we analyze a variant of the slice spectral sequence of [HHR (or SSS) called the regular slice spectral sequence (or RSSS). This latter spectral sequence is defined using only the regular slice cells. We show that the regular slice tower of a spectrum is just the suspension of the sli ..."
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structure. We identify a large portion of the first page of the spectral sequence algebraically by relating the RSSS to the homotopy orbit and homotopy fixed point spectral sequences, and determine the edge homomorphisms. We also give formulas for the slice towers
UNIVERSAL HOMOTOPY ASSOCIATIVE, HOMOTOPY COMMUTATIVE HSPACES AND THE EHP SPECTRAL SEQUENCE
"... Assume that all spaces and maps are localised at a fixed prime p. We study the possibility of generating a universal space U(X) from a space X which is universal in the category of homotopy associative, homotopy commutative Hspaces in the sense that any map f: X − → Y to a homotopy associative, hom ..."
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Cited by 7 (3 self)
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of the unstable homotopy groups of spheres, namely, we obtain a formula for the d1differential of the EHPspectral sequence valid in a certain range.
Multiplicative structures on homotopy spectral sequences I
, 2003
"... 2. Sign conventions in singular cohomology 1 3. Spectral sequences for ltered spaces 3 4. The Postnikov/Whitehead spectral sequence 8 ..."
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Cited by 6 (1 self)
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2. Sign conventions in singular cohomology 1 3. Spectral sequences for ltered spaces 3 4. The Postnikov/Whitehead spectral sequence 8
Results 1  10
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405