Otopy classification of gradient compact perturbations of identity in Hilbert space

Piotr Bartlomiejczyk, Piotr Nowak-Przygodzki


We prove that the inclusion of the space of gradient
local maps into the space of all local maps from Hilbert space to
itself induces a bijection between the sets of the respective otopy
classes of these maps, where by a local map we mean a compact
perturbation of identity with a compact preimage of zero.


  • There are currently no refbacks.