• Corpus ID: 221876971

RÉTRACTES ABSOLUS DE VOISINAGE ALGÉBRIQUES

@inproceedings{Cauty2010RETRACTESAD,
  title={RÉTRACTES ABSOLUS DE VOISINAGE ALGÉBRIQUES},
  author={Robert Cauty},
  year={2010}
}
We introduce the class of algebraic ANRs. It is defined by replacing continuous maps by chain mappings in Lefschetz’s characterization of ANRs. To a large extent, the theory of algebraic ANRs parallels the classical theory of ANRs. Every ANR is an algebraic ANR, but the class of algebraic ANRs is much larger; the most striking difference between these classes is that every locally equiconnected metrisable space is an algebraic ANR, whereas there exist metric linear spaces which are not ARs… 

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