In mathematics, specifically algebraic topology, there is a resolution analogous to free resolutions of spectra yielding a tool for constructing the Adams spectral sequence. Essentially, the idea is to take a connective spectrum of finite type X {\displaystyle X} and iteratively resolve with other spectra that are in the homotopy kernel of a map resolving the cohomology classes in H ∗ ( X ; Z / p ) {\displaystyle H^{*}(X;\mathbb {Z} /p)} using Eilenberg–MacLane spectra.
In mathematics, specifically algebraic topology, there is a resolution analogous to free resolutions of spectra yielding a tool for constructing the Adams spectral sequence. Essentially, the idea is to take a connective spectrum of finite type X {\displaystyle X} and iteratively resolve with other spectra that are in the homotopy kernel of a map resolving the cohomology classes in H ∗ ( X ; Z / p ) {\displaystyle H^{*}(X;\mathbb {Z} /p)} using Eilenberg–MacLane spectra.
Source: Wikipedia "Adams resolution" · CC BY-SA 4.0
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