## Abstract

Let X and Y be two topological spaces. We note that a discussion of the homotopy groups of the space of continuous functions from X to Y leads to a discussion of the algebra derivations from the cohomology algebra of Y to the cohomology algebra of X. This observation, and the Bousfield-Kan spectral sequence, allow us to apply the commutative algebra cohomology of André and Quillen to the study of the homotopy type of spaces of maps.

Original language | English (US) |
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Pages (from-to) | 113-153 |

Number of pages | 41 |

Journal | Journal of Pure and Applied Algebra |

Volume | 63 |

Issue number | 2 |

DOIs | |

State | Published - Mar 12 1990 |

## ASJC Scopus subject areas

- Algebra and Number Theory

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