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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].

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Infinitesimally small elements in extensions of models of model-complete theories

Let $T$ a be a topological $\mathcal{L}$-theory of fields in the sense of Pillay.. this means that not only is $T$ a theory fields but also there is an $\mathcal{L}$-formula $\phi(x,\bar y)$ such that … Suppose I have models $\mathcal{M},\mathcal{N}\models T$ expanding fields $K,L$ respectively such that $\mathcal{M}\subseteq \mathcal{N}$. …