Cofiber sequence of spectra (source code)

= Cofiber sequence of spectra

= Cofiber sequences of spectra
{synonym}

A <cofiber sequence of spectra> $A\to B\to C\to\Sigma A$ induces exact sequences after either mapping into or out of a fixed <topological spectrum>, and on <stable homotopy groups>. In particular the second map is zero precisely when the first map admits a right inverse in the <stable homotopy category>.