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
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{TM_2004_247_a13,
author = {B. A. Pasynkov},
title = {The {Subset} {Theorem} in {Dimension} {Theory} and {Open} {Maps} {Raising} {Dimension}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {202--213},
publisher = {mathdoc},
volume = {247},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2004_247_a13/}
}
TY - JOUR AU - B. A. Pasynkov TI - The Subset Theorem in Dimension Theory and Open Maps Raising Dimension JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2004 SP - 202 EP - 213 VL - 247 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2004_247_a13/ LA - ru ID - TM_2004_247_a13 ER -
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/