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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 247, Pages 202–213 (Mi tm18)  
The Subset Theorem in Dimension Theory and Open Maps Raising Dimension

B. A. Pasynkov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: 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.
Received in March 2004
Bibliographic databases:
UDC: 515.12+515.163.6
Language: Russian
Citation: B. A. Pasynkov, “The Subset Theorem in Dimension Theory and Open Maps Raising Dimension”, Geometric topology and set theory, Collected papers. Dedicated to the 100th birthday of professor Lyudmila Vsevolodovna Keldysh, Trudy Mat. Inst. Steklova, 247, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 202–213; Proc. Steklov Inst. Math., 247 (2004), 184–194
Citation in format AMSBIB
\Bibitem{Pas04}
\by B.~A.~Pasynkov
\paper The Subset Theorem in Dimension Theory and Open Maps Raising Dimension
\inbook Geometric topology and set theory
\bookinfo Collected papers. Dedicated to the 100th birthday of professor Lyudmila Vsevolodovna Keldysh
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 247
\pages 202--213
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm18}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2168171}
\zmath{https://zbmath.org/?q=an:1107.54028}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 247
\pages 184--194
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