Generalized Homology and Cohomology of Spectra
We can define the (stable) homotopy groups of a spectrum to be those given by
- ,
where is the spectrum of spheres and is the set of homotopy classes of maps from to . We define the generalized homology theory of a spectrum E by
and define its generalized cohomology theory by
Here can be a spectrum or a (by using its suspension spectrum) a space.
Read more about this topic: Spectrum (homotopy Theory)
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