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Displaying similar documents to “Une méthode de construction squelette par squelette dans les espaces paracompacts”

La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)

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.

Rétractes Absolus de Voisinage Algébriques

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...