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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.

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Wasserstein compactness of sublevel sets of relative entropy

Let $\mathcal{P}({\mathbb{R}^d})$ denote the set of Borel probability measures on $\mathbb{R}^d$, and let $\pi \in \mathcal{P} (\mathbb{R}^d)$. It is known that the sets $\{ \mu \in \mathcal{P}(\mathb …
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Properties of the topology of sequential convergence $\tau_\text{seq}$

I am aware of two general topology textbooks which discuss sequential spaces: (probably there is also discussion in earlier works by e.g. Frechet, Kuratowski...) General Topology I by Arkhangel'skii …
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