Singular cohomology

General Introduction
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Search results
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Online References
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Paper References
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Definition
Let be a topological space. Define the singular chain complex . Now and is the homology and the cohomology of and , respectively.
This is a bifunctor, contravariant in and covariant in the coefficient group .
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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
Completely unverified, from MathOverflow: "Singular cohomology of $X$ can be expressed as sheaf cohomology if $X$ is locally contractible and $F$ is the sheaf of locally constant functions."
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