Why are connective spectra called "connective"? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T13:47:51Z http://mathoverflow.net/feeds/question/62086 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/62086/why-are-connective-spectra-called-connective Why are connective spectra called "connective"? Harry Gindi 2011-04-18T04:47:51Z 2011-04-18T21:26:10Z <p>Recall that a spectrum is called connective if it is $(-1)$-connected (that is, its homotopy is concentrated in nonnegative degrees).</p> <p>However, this left me scratching my head a bit. Why "connective"? Is there some geometric intuition behind it that I'm missing?</p> http://mathoverflow.net/questions/62086/why-are-connective-spectra-called-connective/62175#62175 Answer by Dan Ramras for Why are connective spectra called "connective"? Dan Ramras 2011-04-18T21:26:10Z 2011-04-18T21:26:10Z <p>Maybe just because (-1)-connected is a mouthful? And connected would not be the right term, since that would imply trivial $\pi_0$. Other than that, I don't know. </p>