Otopy classification of gradient compact perturbations of identity in Hilbert space
Author:
Bartłomiejczyk Piotr1,
Nowak-Przygodzki Piotr2
Affiliation:
1. Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gdańsk, Poland
2. nema
Abstract
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.
Publisher
National Library of Serbia
Subject
General Mathematics