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Séminaire Henri Cartan
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Séminaire Henri Cartan
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2000 Mathematics Subject Classification: 54C55, 54H25, 55M20. 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...