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Title: Zero-dimensional open mappings which increase dimension (English)
Author: Chigogidze, Alex
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 24
Issue: 4
Year: 1983
Pages: 571-579
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Category: math
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MSC: 54C10
MSC: 54C55
MSC: 54F45
idZBL: Zbl 0538.54027
idMR: MR738555
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Date available: 2008-06-05T21:16:19Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106257
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Reference: [1] P. S. ALKLUTOROV B. A PASYNKOV: Introduction to Dimension Theory.(Nauka, Moscow, 1973).
Reference: [2] A. CHIGOGIDZE: On a generaliaiation of perf eotly normal spaces.Topology Appl. 13 (1982), 15-20. MR 0637423
Reference: [3] R. ENGEKING: General Topology.(PWN, Warssawa, 1977).
Reference: [4] V. V. FEDORČUK: On the dimenBioa of k-metrisable hiooapacta.in particular Dugundji spaces, Dokl. Akad. Nauk SSS1 234 (1977), 30-33. MR 0451213
Reference: [5] B. HOFFMAN: Locally Dugundji spaces aad quotient spaces of locally compact groups.Quart. J. Math. 31 (1980), 181-190. MR 0576336
Reference: [6] L. KELDYŠ: An example of a one-dimenaional continuus which can be mapped onto a square by a zerodimensional open napping.Dokl. Akad. Nauk SSSR 97 (1954), 201-204. MR 0063030
Reference: [7] A. KOLMOGOROV: Über offens Abbildungen.Ann. of Math. 38 (1937), 36-38.
Reference: [8] K. KURATOWSKI: Topology.toI. 1 (Academic Press, New York 1966). Zbl 0163.17002, MR 0217751
Reference: [9] E. MICHAEL: Selected selection theorems.Amer. Math. Monthly 63 (1956), 233-238. Zbl 0070.39502, MR 1529282
Reference: [10] B. A. PASYNKOV: Zero-dimensional open mappings which arise dimension.Uspehi Mat. Nauk 18 (1963), 183-190. MR 0156320
Reference: [11] E. V. ŠČEPIN: Functors and uncountable powers of compacta.Uspehi Mat. Nauk 36 (1981), 3-62. MR 0622720
Reference: [12] B. C. WILSON: Open mappings of the universal curve onto continuous curves.Trans. Amer. Math. Soc. 168 (1972), 497-515. Zbl 0239.54007, MR 0298630
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