Function spectra and continuous G -spectra

Abstract

Let G be a profinite group, {Xα}α be a cofiltered diagram of discrete G‐spectra, and Z be a spectrum with trivial G‐action. We show how to define the homotopy fixed point spectrum F(Z, holimα Xα)hG and that when G has finite virtual cohomological dimension (vcd), it is equivalent to F(Z, holimα (Xα)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 ◃ G and closed, the equivalence (EhkK)hkG/K ≃ EhkG (due to Behrens and the author), where (−)hk(−) 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.

Research on the Background Influence on the Resolution and Defininition of the Variations of the Background Luminance of Electronic-Optic Converters

“…The basic equation of the dispersion analysis of two factors -the researched EOCs and the levels of the background luminance is: [6,7] (1)…”

“…The table values of the dispersion relation F, (taken from Tables5 and Table 6[6]) are respectively 5% and 1% significance levels α at number of…”