The model structure on the category of chain functors $mathfrak{Ch}$, developed in [4], has the main features of a simplicial model category structure, taking into account the lack of arbitrary (co-)limits in $mathfrak{Ch}$. After an appropriate tensor and cotensor structure in $mathfrak{Ch}$ is established (§1, §3), Quillen's axiom SM7 is verified in §5 and §6. Moreover, it turns out that in the definition of a simplicial model structure, the category of simplicial sets can be replaced by the category of simplicial spectra endowing $mathfrak{Ch}$ with the structure of an approximate simplicial stable model structure (= approximate ss-model structure) (§7). In §8 the model structure on $mathfrak{Ch}$ is shown to be proper.
展开▼
