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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
0
votes
When is the Minkowski sum of weighted compact sets $w_1 B_1 + w_2 B_2 + \ldots$ (with $w \in...
Yes, the set $A$ is closed whenever $A$ is well-defined. Your definition of $A$ as an infinite sum is actually a definition of $A$ as the closure of all finite subsums. Compare with the one-dimensiona …
2
votes
Relation between optimal transport cost and difference between topological invariants?
Applications of OT to Algebraic Topology was the subject of my thesis available here https://github.com/jhmartel/Thesis2019
There remains many interesting questions to solve!
I found the topology of e …