telescope conjecture

In the stable homotopy category of $p$-local spectra for some prime number $p$, there are two collections of similarly behaved spectra: the Morava K-theories and spectra which are the telescopes of finite spectra under their $v_n$-maps. The former are usually denoted $K(n)$ and the latter are often denoted $T(n)$. The *telescope conjecture* is that localization at $K(n)$ and localization at $T(n)$ are (Bousfield) equivalent.

Last revised on September 28, 2012 at 00:25:06. See the history of this page for a list of all contributions to it.