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math.AT2020
The homotopy classification of proper Fredholm maps of index one
Alberto Abbondandolo, Thomas O. Rot
In a previous paper we classified the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold to its model space in terms of a suitable version of fr…
math.DS2020
Stable foliations and CW-structure induced by a Morse-Smale gradient-like flow
Alberto Abbondandolo, Pietro Majer
We prove that a Morse-Smale gradient-like flow on a closed manifold has a "system of compatible invariant stable foliations" that is analogous to the object introduced by Palis and…