Homology, Homotopy and Applications

Volume 1 (1999)

Number 1

The Boardman category of spectra, chain complexes and (co-)localizations

Pages: 95 – 116

DOI: http://dx.doi.org/10.4310/HHA.1999.v1.n1.a3

Author

Friedrich W. Bauer (Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, Frankfurt a. M., Germany)

Abstract

This is a survey of the author’s results about chain functors, tensor products of chain functors, (co-)localizations of chain functors and their relationship with the associated concepts for spectra in the Boardman category. Some introductory remarks about quotient categories, stable homotopy theory and application of the theory to strong homology theories are included.

Keywords

chain functors; Boardman spectra; Tensor products; localizations; colocalizations

2010 Mathematics Subject Classification

Primary 55N20, 55P42, 55P60. Secondary 55N07, 55U15.

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