Abelian II-algebras and their projective dimension

Martin C. Tangora, David Blanc

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Derived functors of IT-algebras - which are algebraic models for the homotopy groups of a space, together with the action of the homotopy operations on them - serve as the E 2 -terms of a number of spectral sequences; thus the homological properties of IT-algebras are of some interest. As a first approximation we here study the properties of a simpler subcategory - that of abelian IT-algebras: we show that any abelian IT-algebra (simply connected, of finite type) is either free, or has infinite projective dimension.
Original languageEnglish
Title of host publicationAlgebraic Topology
Subtitle of host publicationOaxtepec 1991
EditorsMartin C. Tangora
PublisherAmerican Mathematical Society
Number of pages10
ISBN (Electronic)9780821877371, 0821877372
ISBN (Print)9780821851623, 0821851624
StatePublished - 1 Jun 1993

Publication series

NameContemporary Mathematics


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