The monoid of suspensions and loops modulo Bousfield equivalence

• Autorzy: Jeff Strom
• Języki publikacji: EN

Abstrakty

EN

The suspension and loop space functors, Σ and Ω, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ℒ of the complete set of operations on the Bousfield lattice. We determine the structure of ℒ in terms of a single parameter of homotopy theory which is closely tied to the problem of desuspending weak cellular inequalities.

Kategorie tematyczne

• 55P60: Localization and completion
• 20M05: Free semigroups, generators and relations, word problems
• 55P65: Homotopy functors
• 55P99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 199
• Numer: 3
• Strony: 213-226

Daty

wydano

2008

Twórcy

autor

Jeff Strom

• Department of Mathematics, Western Michigan University, 1903 W. Michigan Ave., Kalamazoo, MI 49008, U.S.A.

Identyfikatory

DOI

10.4064/fm199-3-2