Sur les sous-espaces des complexes simpliciaux
Robert Cauty (1972)
Bulletin de la Société Mathématique de France
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Robert Cauty (1972)
Bulletin de la Société Mathématique de France
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R. Cauty (1973)
Compositio Mathematica
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Christophe Eyral (2000)
Annales scientifiques de l'École Normale Supérieure
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Cauty, Robert (2005)
Serdica Mathematical Journal
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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...
Robert Cauty (1990)
Fundamenta Mathematicae
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Cauty, Robert (1998)
Serdica Mathematical Journal
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We prove that, for every countable ordinal α ≥ 3, there exists countable completely regular spaces Xα and Yα such that the spaces Cp (Xα ) and Cp (Yα ) are borelian of class exactly Mα , but are not homeomorphic.
L. Siebenmann, L. Guillou, H. Hähl (1974)
Annales scientifiques de l'École Normale Supérieure
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