The paper gives the first systematic persistent-homology analysis of the Lipschitz landscape on function spaces, proving bounded finite bars for many simply connected targets and an unbounded-bar counterexample for S^3∨S^3.
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Persistent homology of function spaces
The paper gives the first systematic persistent-homology analysis of the Lipschitz landscape on function spaces, proving bounded finite bars for many simply connected targets and an unbounded-bar counterexample for S^3∨S^3.