Stable cohomology

General Introduction
Stable cohomology can mean three different things. One is described in the nLab page on cohomology where stable cohomology is roughly a Hom group in some infinitycategory in which the second variable is a stable object (think: spectrum). The second is stable cohomology in the sense of Cisinski and Déglise, which is a slight generalization of a Weil cohomology theory. Finally, it can also mean stable cohomology as in Borel's regulator work, see this MO question
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
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Other Information
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