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Cellular approximations of infinite loop spaces
Author(s) -
Castellatàlia,
GaviraRomero Alberto
Publication year - 2015
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdv007
Subject(s) - mathematics , torsion (gastropod) , pure mathematics , functor , homotopy , loop (graph theory) , algebra over a field , mathematical analysis , combinatorics , medicine , surgery
In this paper, we compare the effect of nullification and cellularization functors in A ‐homotopy combined with homological localizations and Bousfield–Kan R ‐completion. Using this com‐ parison, we obtain a description of the cellularization of infinite loop spaces and Postnikov pieces with respect to torsion spaces.