coring spectrum

A *coring spectrum* is a comonoid object in the symmetric monoidal (infinity,1)-category of spectra. The concept of a *coring spectrum* is to that of a *ring spectrum* like a coalgebra is to an associative algebra.

- Every infinity-groupoid (homotopy type of a topological space) is canonically a coalgebra object? in the Cartesian monoidal (infinity,1)-category ∞Grpd (here). Accordingly, since forming suspension spectra is strong monoidal, its suspension spectrum $\Sigma^\infty X_+$ is a coring spectrum. For more on this see also at
*A-theory*

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Created on March 2, 2017 at 05:49:55. See the history of this page for a list of all contributions to it.