André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence (Q917082)
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scientific article; zbMATH DE number 4155452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence |
scientific article; zbMATH DE number 4155452 |
Statements
André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence (English)
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1990
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The author studies the homotopy groups of the space of continuous functions between two topological spaces X and Y, considering the algebra derivations between their cohomology algebra. In this way he applies the commutative algebra cohomology of André-Quillen to understand the \(E_ 2\)-term of the Bousfield-Kan spectral sequence and to explore computational tools for approaching it.
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homotopy groups
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algebra derivations
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cohomology algebra
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