Hyperphantom map of spectra
= Hyperphantom map of spectra
= Hyperphantom maps of spectra
{synonym}
A <hyperphantom map of spectra> is a stable map $p:D\to E$ such that $pu=0$ for every $u:\Sigma^{-j}\Sigma^\infty X\to D$, for arbitrary <based spaces> $X$ and all nonnegative $j$. Equivalently it induces zero on the entire <represented cohomology theory>. This is a stronger condition than being a <phantom map of spectra>, which tests only <finite spectra>.