The 2-category of spectra in a 2-category
type: Item
instance of: scholarly article
title: The 2-category of spectra in a 2-category
zbMATH Open document ID: 1263.18004
author: Howard J. Marcum
published in: Journal of Pure and Applied Algebra
publication date: 2012-10-16T00:00:00Z
review text: The author gives a definition of a spectrum arising from a 2-category equipped with zeros. In particular, a notion of suspension spectrum is given, and spectra in a 2-category are shown to themselves form a 2-category. In the special case where the 2-category is that of pointed spaces, pointed maps, and based track classes of homotopies, connections are made with previous work of the author and others by extending the notion of \(W\)-topology for a space \(W\) to a \(\mathcal W\)-topology for a spectrum \(\mathcal W\).
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55P40
zbMATH DE Number: 6094154
zbMATH Keywords: 2-categories
zbMATH Keywords: spectra
reviewed by: Julie Bergner
MaRDI profile type: Publication
full work available at URL: j.jpaa.2012.02.031
OpenAlex ID: W1990051800
cites work: Q4067782
cites work: A Categorical Approach to Matrix Toda Brackets
cites work: Triple brackets and lax morphism categories
cites work: Q3146067
cites work: The Whitehead products and powers in $W$-topology
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cites work: Generalized Homology Theories
DOI: 10.1016/J.JPAA.2012.02.031
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description: scientific article; zbMATH DE number 6094154