André-Quillen cohomology and the homotopy groups of mapping spaces: understanding the E2-term of the Bousfield-Kan spectral sequence

Paul G. Goerss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)113-153
Number of pages41
JournalJournal of Pure and Applied Algebra
Volume63
Issue number2
DOIs
StatePublished - Mar 12 1990

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'André-Quillen cohomology and the homotopy groups of mapping spaces: understanding the E<sub>2</sub>-term of the Bousfield-Kan spectral sequence'. Together they form a unique fingerprint.

Cite this