Why are connective spectra called "connective"? - MathOverflow most recent 30 from http://mathoverflow.net2013-05-23T13:47:51Zhttp://mathoverflow.net/feeds/question/62086http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/62086/why-are-connective-spectra-called-connectiveWhy are connective spectra called "connective"?Harry Gindi2011-04-18T04:47:51Z2011-04-18T21:26:10Z
<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#62175Answer by Dan Ramras for Why are connective spectra called "connective"?Dan Ramras2011-04-18T21:26:10Z2011-04-18T21:26:10Z<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>