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Krasinkiewicz maps from compacta to polyhedra

Eiichi Matsuhashi (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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