Geodesic
The Subset Theorem in Dimension Theory and Open Maps Raising Dimension
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology and set theory, Tome 247 (2004), pp. 202-213.

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A method of extension of some results concerning compacta to paracompacta is presented. It makes it possible, in particular, to prove that every non-0-dimensional paracompactum is an image of a 1-dimensional one under an open and perfect map with arcwise connected or 0-dimensional fibers. 
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B. A. Pasynkov. The Subset Theorem in Dimension Theory and Open Maps Raising Dimension. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology and set theory, Tome 247 (2004), pp. 202-213. http://geodesic.mathdoc.fr/item/TM_2004_247_a13/

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