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# Homology, Homotopy and Applications

## Volume 3 (2001)

### Number 1

### Tensor products of spectra and localizations

Pages: 55 – 85

DOI: http://dx.doi.org/10.4310/HHA.2001.v3.n1.a3

#### Author

#### Abstract

1) The tensor product of two spectra, different from the $\wedge$-product, is introduced in such a way that a Künneth theorem holds. 2) Localizations of spectra are treated by using the more algebraic category of chain functors (instead of the category of CW-spectra). 3) The localization of a given chain functor ${\bf K}_*$ can up to chain homotopy be expressed by tensoring ${\bf K}_*$ with the localization of a fixed chain functor $\boldsymbol{\mathbb Z}_*$.

#### 2010 Mathematics Subject Classification

Primary 55P60. Secondary 18G35, 55P42.