nLab
zero spectrum

Idea

Idea

The zero object in the stable (infinity,1)-category of spectra/stable homotopy category.

As a sequential spectrum this is represented by the sequence of pointed topological space which consists of the one-point space in each degree (an Omega-spectrum). This particular representative happens to be itself the zero object in the 1-category of sequential spectra. But, as usual, there are other sequential spectra, not isomorphic to this one, which still represent the zero-spectrum in the stable homotopy theory of spectra (hence which are connected to the spectrum constant on the point by a sequence of weak equivalences in the stable model structure on topological sequential spectra).

Last revised on January 27, 2017 at 02:19:43. See the history of this page for a list of all contributions to it.