Uniform sequences of $\varepsilon $-mappings

Overton, Robert

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Displaying similar documents to “Uniform sequences of $ε$ -mappings”

On boundedness in uniform spaces

D. Bushaw (1964)

Fundamenta Mathematicae

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Krasinkiewicz maps from compacta to polyhedra

Eiichi Matsuhashi (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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We prove that the set of all Krasinkiewicz maps from a compact metric space to a polyhedron (or a 1-dimensional locally connected continuum, or an n-dimensional Menger manifold, n ≥ 1) is a dense $G_{δ}$ -subset of the space of all maps. We also investigate the existence of surjective Krasinkiewicz maps from continua to polyhedra.