Otopy classification of gradient compact perturbations of identity in Hilbert space
Algebraic Topology
2018-10-19 v3 Dynamical Systems
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.
Cite
@article{arxiv.1801.01734,
title = {Otopy classification of gradient compact perturbations of identity in Hilbert space},
author = {Piotr Bartłomiejczyk and Piotr Nowak-Przygodzki},
journal= {arXiv preprint arXiv:1801.01734},
year = {2018}
}
Comments
14 pages, 2 figures, minor changes, correction of typos