11 citations · 11 across the 9 of their papers we have counts for
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math.DS2016
Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces
Marek Izydorek, Thomas O. Rot, Maciej Starostka +2
In this paper we introduce a new compactness condition - Property (C) - for flows in (not necessary locally compact) metric spaces. For such flows a Conley type theory can be devel…
math.AT2016
On the homotopy classification of proper Fredholm maps into a Hilbert space
Alberto Abbondandolo, Thomas O. Rot
We classify the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold into its model space in terms of a suitable version of framed cobordism. Our…
math.GT2016
The Morse-Bott inequalities, orientations, and the Thom isomorphism in Morse homology
Thomas O. Rot
The Morse-Bott inequalities relate the topology of a closed manifold to the topology of the critical point set of a Morse-Bott function defined on it. The Morse-Bott inequalities a…