3 problems

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Whitney extension conjecture for vanishing Taylor jets on closed sets
Let $X\subset\mathbb{R}^n$ be the closed set under consideration, let $a\in X$ , and let $P\in\tau^p_a(X)^\perp\subset\mathcal{P}_p$ ; define $f=P|_X$ . Whitney extension conjecture.…
Conjectureopendifferentiable-functions paratangent-bundles whitney-extension-theoremarXiv posted 2 days ago
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The openness and smooth-witness conjecture for repeated integrals
The $(P_n)$ conjecture. $(P_n)$ is true for all nonnegative integers $n$ .
Conjectureopenapproximation-theory differentiable-functions real-analysisarXiv posted 2 days ago
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Formal differentiation conjecture for two-term asymptotic expansions
Formal differentiation conjecture. Under reasonable conditions, formally differentiating this relation yields
Conjectureopenasymptotic-analysis differentiable-functionsarXiv posted 2 days ago

Whitney extension conjecture for vanishing Taylor jets on closed sets