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math.FA2026
Fredholm -Filtration of Fredholm Groups
Ahmad Reza Haj Saaedi Sadegh, Jody Trout
In this short note, we show that some well-known filtrations of infinite dimensional groups of Fredholm operators associated to certain perturbation classes are, in fact, Fredholm…
math.FA2025
On Deformation Spaces, Tangent Groupoids and Generalized Filtrations of Banach and Fredholm Manifolds
Ahmad Reza Haj Saeedi Sadegh, Jody Trout
We extend the deformation to the normal cone and tangent groupoid constructions from finite-dimensional manifolds to infinite-dimensional Banach and Fredholm manifolds. Next, we ge…