Functorial homotopy decompositions of looped co-H spaces

Stephen D. Theriault, Paul Selick, Jie Wu

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In recent work of the first and third authors, functorial coalgebra decompositions
of tensor algebras were geometrically realized to give functorial homotopy decompositions of loop suspensions. Later work by all three authors generalized this to functorial decompositions of looped coassociative co-H spaces. In this paper we use different methods which allow for the coassociative hypothesis to be removed.
Original languageEnglish
Pages (from-to)139-153
Number of pages15
JournalMathematische Zeitschrift
Volume267
Issue number1-2
DOIs
Publication statusPublished - 2011

Fingerprint

H-space
Homotopy
Tensor Algebra
Decompose
Coalgebra

Keywords

  • loop space decomposition
  • Co-H space

Cite this

Functorial homotopy decompositions of looped co-H spaces. / Theriault, Stephen D.; Selick, Paul; Wu, Jie.

In: Mathematische Zeitschrift, Vol. 267, No. 1-2, 2011, p. 139-153.

Research output: Contribution to journalArticle

Theriault, Stephen D. ; Selick, Paul ; Wu, Jie. / Functorial homotopy decompositions of looped co-H spaces. In: Mathematische Zeitschrift. 2011 ; Vol. 267, No. 1-2. pp. 139-153.
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