Ideal Perturbation Lemma

Details Ideal Perturbation Lemma Ideal Perturbation Lemma

2000-02-16

arxiv.org/abs/math/0002130v2

Mathematics

Algebraic Topology

Introduction substantially revised and some typos corrected

Scientific paper

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.

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