The monoid of suspensions and loops modulo Bousfield equivalence

Jeff Strom. "The monoid of suspensions and loops modulo Bousfield equivalence." Fundamenta Mathematicae 199.3 (2008): 213-226. <http://eudml.org/doc/282955>.

@article{JeffStrom2008,
abstract = {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.},
author = {Jeff Strom},
journal = {Fundamenta Mathematicae},
keywords = {Bousfield class; suspension; loop space; cellular inequality},
language = {eng},
number = {3},
pages = {213-226},
title = {The monoid of suspensions and loops modulo Bousfield equivalence},
url = {http://eudml.org/doc/282955},
volume = {199},
year = {2008},
}

TY - JOUR
AU - Jeff Strom
TI - The monoid of suspensions and loops modulo Bousfield equivalence
JO - Fundamenta Mathematicae
PY - 2008
VL - 199
IS - 3
SP - 213
EP - 226
AB - 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.
LA - eng
KW - Bousfield class; suspension; loop space; cellular inequality
UR - http://eudml.org/doc/282955
ER -