Homotopy operations and rational homotopy type

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


In [HS] and [F1] Halperin, Stasheff, and Félix showed how an inductively-defined sequence of elements in the cohomology of a graded commutative algebra over the rationals can be used to distinguish among the homotopy types of all possible realizations, thus providing a collection of algebraic invariants for distinguishing among rational homotopy types of spaces. There is also a dual version, in the setting of graded Lie algebras (see [O]).
Original languageEnglish
Title of host publicationCategorical Decomposition Techniques in Algebraic Topology
Subtitle of host publicationInternational Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001
EditorsG. Z. Arone, J. R. Hubbuck, R. Levi, M. S. Weiss
Place of PublicationBasel
Number of pages33
ISBN (Electronic)978-3-0348-7863-0
ISBN (Print)978-3-0348-9601-6
StatePublished - 2004

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X


  • math.AT
  • 55P62; 55Q35, 55P15,18G50


Dive into the research topics of 'Homotopy operations and rational homotopy type'. Together they form a unique fingerprint.

Cite this