Positive model structures for abstract symmetric spectra

Gorchinskiy, S and Guletskii, V (2018) Positive model structures for abstract symmetric spectra. Applied Categorical Structures: a journal devoted to applications of categorical methods in algebra,, 26 (1). pp. 29-46.

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Abstract

We give a general method of constructing positive stable model structures for symmetric spectra over an abstract simplicial symmetric monoidal model category. The method is based on systematic localization, in Hirschhorn’s sense, of a certain positive projective model structure on spectra, where positivity basically means the truncation of the zero level. The localization is by the set of stabilizing morphisms or their truncated version.

Item Type:	Article
Additional Information:	## TULIP Type: Articles/Papers (Journal) ##
Uncontrolled Keywords:	Symmetric monoidal model category, Cofibrantly generated model category, Localization of a model structure, Quillen functors, Symmetric spectra, Stable model structure, Stable homotopy category
Depositing User:	Symplectic Admin
Date Deposited:	05 Dec 2018 09:30
Last Modified:	19 Jan 2023 01:10
DOI:	10.1007/s10485-016-9480-9
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3029505