An abelian embedding for Moore spectra
Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2101-2139
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We embed the category of Moore spectra as a full subcategory of an abelian category, and make some remarks about abelian embeddings of various other categories of spectra.

DOI : 10.2140/agt.2013.13.2101
Classification : 18E30, 55P42
Keywords: Moore spectrum

Strickland, N P  1

1 School of Mathematics and Statistics, University of Sheffield, The Hicks Building, Hounsfield Road, Sheffield S3 7RH, UK
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Strickland, N P. An abelian embedding for Moore spectra. Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2101-2139. doi: 10.2140/agt.2013.13.2101

[1] H J Baues, Algebraic homotopy, Cambridge Studies in Advanced Mathematics 15, Cambridge Univ. Press (1989)

[2] H J Baues, Homotopy type and homology, Clarendon Press (1996)

[3] P Freyd, Stable homotopy, from: "Proceedings of the conference on categorical algebra" (editors S Eilenberg, D K Harrison, S MacLane, H Röhri), Springer (1966) 121

[4] N Popesco, P Gabriel, Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes, C. R. Acad. Sci. Paris 258 (1964) 4188

[5] H Toda, Order of the identity class of a suspension space, Ann. of Math. 78 (1963) 300

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