On a closed mapping between ANR's
Y. Kodama (1958)
Fundamenta Mathematicae
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Displaying similar documents to “On locally connected sets and absolute neighbourhood retracts”
On a closed mapping between ANR's
Maps into nerves of closed coverings
J. Dugundji (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Absolute neighborhood retracts and local connectedness in arbitrary metric spaces
J. Dugundji (1956-1958)
Compositio Mathematica
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Locally equiconnected spaces and absolute neighborhood retracts
J. Dugundji (1965)
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On a theorem of Hanner and Dowker
McCandless, Byron H. (1967)
Portugaliae mathematica
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On a special metric and dimension
J. Nagata (1964)
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On Fox's theory of overlays
Thomas Moore (1978)
Fundamenta Mathematicae
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On homotopically stable points and product spaces
Yukihiro Kodama (1957)
Fundamenta Mathematicae
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Čech cohomology and covering dimension for topological spaces
Kiiti Morita (1975)
Fundamenta Mathematicae
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On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane
G. R. Conner, J. W. Lamoreaux (2005)
Fundamenta Mathematicae
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We prove several results concerning the existence of universal covering spaces for separable metric spaces. To begin, we define several homotopy-theoretic conditions which we then prove are equivalent to the existence of a universal covering space. We use these equivalences to prove that every connected, locally path connected separable metric space whose fundamental group is a free group admits a universal covering space. As an application of these results, we prove the main result...