Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Function spectra and continuous G-spectra   Let G be a profinite group, {X_alpha}_alpha a cofiltered diagram of discrete
G-spectra, and Z a spectrum with trivial G-action. We show how to define the
homotopy fixed point spectrum F(Z, holim_alpha X_alpha)^{hG} and that when G
has finite virtual cohomological dimension (vcd), it is equivalent to F(Z,
holim_alpha (X_alpha)^{hG}). With these tools, we show that the K(n)-local
Spanier-Whitehead dual is always a homotopy fixed point spectrum, a well-known
Adams-type spectral sequence is actually a descent spectral sequence, and, for
a sufficiently nice k-local profinite G-Galois extension E, with K a closed
normal subgroup of G, the equivalence (E^{h_kK})^{h_kG/K} \simeq E^{h_kG} (due
to Behrens and the author), where (-)^{h_k(-)} denotes k-local homotopy fixed
points, can be upgraded to an equivalence that just uses ordinary (non-local)
homotopy fixed points, when G/K has finite vcd.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph