Ideal Perturbation Lemma
Algebraic Topology
2007-05-23 v2
Abstract
We explain the essence of perturbation problems. The key to understanding is the structure of chain homotopy equivalence -- the standard one must be replaced by a finer notion which we call a strong chain homotopy equivalence. We prove an Ideal Perturbation Lemma and show how both new and classical results follow from this ideal statement.
Keywords
Cite
@article{arxiv.math/0002130,
title = {Ideal Perturbation Lemma},
author = {Martin Markl},
journal= {arXiv preprint arXiv:math/0002130},
year = {2007}
}
Comments
Introduction substantially revised and some typos corrected