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function spectrum

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Idea

A function spectrum or mapping spectrum is the analog of a mapping space in the context of stable homotopy theory.

Given two spectra XX and EE, their function spectrum [X,E][X,E] is the internal hom in a suitable category of spectra.

In the context of generalized (Eilenberg-Steenrod) cohomology the generalized EE-cohomology of a topological space XX is given by the homotopy groups of the mapping spectrum [Σ X,E][\Sigma_\infty X, E].

Revised on April 16, 2014 01:56:13 by Urs Schreiber (92.68.97.89)