symmetric monoidal (∞,1)-category of spectra
A topological operad is an operad over Top. It has for each a topological space of -ary operations.
There is a model category structure on the category of topological operads that makes them present (∞,1)-operads. See model structure on operads.
Every operad over Set may be regarded as a topological operad, via the discrete space embedding .
the little k-cubes operad is naturally a topological operad
topological operad, simplicial operad