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The plus-construction, Bousfield localization, and derived completion

Authors :
Tyler Lawson
Source :
Journal of Pure and Applied Algebra. (5):596-604
Publisher :
Elsevier B.V.

Abstract

We define a plus-construction on connective augmented algebras over operads in symmetric spectra using Quillen homology. For associative and commutative algebras, we show that this plus-construction is related to both Bousfield localization and Carlsson’s derived completion.

Subjects

Subjects :
Pure mathematics
Algebra and Number Theory
Plus construction
Mathematics::K-Theory and Homology
Mathematics::Category Theory
Homology (mathematics)
Commutative property
Mathematics::Algebraic Topology
Associative property
Mathematics
Bousfield localization

Details

Language :
English
ISSN :
00224049
Issue :
5
Database :
OpenAIRE
Journal :
Journal of Pure and Applied Algebra
Accession number :
edsair.doi.dedup.....e34952a35d28276f2b9a8c102bf09ccd
Full Text :
https://doi.org/10.1016/j.jpaa.2009.07.017
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