nLab
telescope conjecture

The telescope conjecture

Idea

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