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 |
Funding
by the National Science Foundation. of Washington, Seattle, WA 98195, USA.
ASJC Scopus subject areas
- Algebra and Number Theory