Geodesic
The Subset Theorem in Dimension Theory and Open Maps Raising Dimension
Informatics and Automation, Geometric topology and set theory, Tome 247 (2004), pp. 202-213

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2004_247_a13,
     author = {B. A. Pasynkov},
     title = {The {Subset} {Theorem} in {Dimension} {Theory} and {Open} {Maps} {Raising} {Dimension}},
     journal = {Informatics and Automation},
     pages = {202--213},
     publisher = {mathdoc},
     volume = {247},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_247_a13/}
}
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B. A. Pasynkov. The Subset Theorem in Dimension Theory and Open Maps Raising Dimension. Informatics and Automation, Geometric topology and set theory, Tome 247 (2004), pp. 202-213. http://geodesic.mathdoc.fr/item/TRSPY_2004_247_a13/