On the generalized Andrews-Curtis-Problem -- A Disproof of the Relative Case
Algebraic Topology
2021-02-24 v3
Abstract
The generalized Andrews-Curtis Conjecture expects that finite PLCW 2-complexes which are simple-homotopy equivalent, can be 3-deformed into each other. If in addition subcomplexes are required to be kept fix during the deformation, this is not possible.
Keywords
Cite
@article{arxiv.2102.03212,
title = {On the generalized Andrews-Curtis-Problem -- A Disproof of the Relative Case},
author = {Wolfgang Metzler},
journal= {arXiv preprint arXiv:2102.03212},
year = {2021}
}
Comments
Theorem and Proof can speak only of Q*-equivalences. Whether this excludes the given relative (AC')-counterexamples, is not yet clear