A characterization of cellular motivic spectra

Let $\alpha: \mathcal{C} \to \mathcal{D}$ be a symmetric monoidal functor from a stable presentable symmetric monoidal $\infty$-category $\mathcal{C}$ compactly generated by the tensorunit to a stable presentable symmetric monoidal $\infty$-category $\mathcal{D}$ with compact tensorunit. Let $\beta: \mathcal{D} \to \mathcal{C}$ be a right adjoint of $\alpha$ and $\mathrm{X}: \mathcal{B} \to \mathcal{D}$ a symmetric monoidal functor starting at a small rigid symmetric monoidal $\infty$-category $\mathcal{B}$. We construct a symmetric monoidal equivalence between modules in the $\infty$-category of functors $\mathcal{B} \to \mathcal{C}$ over the $\mathrm{E}_\infty$-algebra $\beta \circ \mathrm{X}$ and the full subcategory of $\mathcal{D}$ compactly generated by the essential image of $\mathrm{X}$. Especially for every motivic $\mathrm{E}_\infty$-ring spectrum $\mathrm{A}$ we obtain a symmetric monoidal equivalence between the $\infty$-category of cellular motivic $\mathrm{A}$-module spectra and modules in the $\infty$-category of functors $\mathrm{QS}$ to spectra over some $\mathrm{E}_\infty$-algebra, where $\mathrm{QS}$ denotes the 0th space of the sphere spectrum

The Primacy of Knowledge: A Critical Survey of Timothy Williamson's Views on Knowledge, Assertion and Scepticism

The following thesis discusses a range of central aspects in Timothy Williamson’s so-called «knowledge-first» epistemology. In particular, it adresses whether this kind of epistemological framework is apt to answer the challenges of scepticism

Theory of surface ion neutralization

Theory of surface ion neutralizatio

Patterns of grammaticalization in African languages

The approach outlined in the present paper is based on observations made with African languages. Although the 1000-odd African languages display a remarkable extent of structural variation, there are certain structures that do not seem to occur in Africa. Thus, to our knowledge, an African language having anything that could be called an ergative case or a numeral classifier system has not been discovered so far. It may turn out that our approach can, in a modified form, be made applicable to languages outside Africa. This , however, is a possibility that has not been considered here. The present approach is based essentially on diachronic findings in that it uses observations on language evolution in order to account for structural differences between languages. Thus, it has double potential: apart from describing and explaining typological diversity it can also be material to reconstructing language history