Caractérisation topologique de l'espace des fonctions dérivables
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Robert Cauty (1991)
Fundamenta Mathematicae
John J. Walsh (1986)
Banach Center Publications
van Engelen, Fons (1985)
Proceedings of the 13th Winter School on Abstract Analysis
Warren White (1972)
Colloquium Mathematicae
Valentin Gutev, Vesko Valov (1994)
Fundamenta Mathematicae
The Kuratowski-Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is (resp., ) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension n. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.
Eric K. Douwen (1987)
Commentationes Mathematicae Universitatis Carolinae
John Baker (1972)
Fundamenta Mathematicae
Le Xuan Binh (1987)
Colloquium Mathematicae
J. O'Farrell (1987)
Fundamenta Mathematicae
Charatonik, Janusz J., Charatonik, Wlodzimierz J. (2000)
Publications de l'Institut Mathématique. Nouvelle Série
Janusz Prajs (1998)
Fundamenta Mathematicae
Locally planar Peano continua admitting continuous decomposition into pseudo-arcs (into acyclic curves) are characterized as those with no local separating point. This extends the well-known result of Lewis and Walsh on a continuous decomposition of the plane into pseudo-arcs.
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