Connective spectra form a coreflective sub-(∞,1)-category of the (∞,1)-category of spectra. The right adjoint (∞,1)-functor from spectra to connective spectra is called the connective cover construction.
The analogous statement holds true for module spectra and for algebra spectra (Baker-Richter 05, Lurie, prop. 7.1.3.13)
Stefan Schwede, chapzer II, section 8, and chapter III, section 7 of Symmetric spectra (2012)
Andrew Baker, Birgit Richter, Uniqueness of $E_\infty$-structures for connective covers (arXiv:math/0506422v2)
Last revised on July 31, 2018 at 05:49:22. See the history of this page for a list of all contributions to it.