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Finite-to-one maps and open extensions of maps. (English) Zbl 0323.54007

MSC:
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54B15 Quotient spaces, decompositions in general topology
54E35 Metric spaces, metrizability
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References:
[1] A. Archangelski, Concerning the weight of topological spaces, General Topology and its Relations to Modern Analysis and Algebra (Proc. Sympos., Prague, 1961) Academic Press, New York; Publ. House Czech. Acad. Sci., Prague, 1962, pp. 72 – 74.
[2] -, On a class of spaces containing all locally bicompact and all metric spaces, Mat. Sb. 67 (109) (1965), 55-85; English transl., Amer. Math. Soc. Transl. (2) 92 (1970), 1-39. MR 32 #8299; 42 #3.
[3] M. M. Čoban, Finite-to-one open maps, Dokl. Akad. Nauk SSSR 174 (1967), 41 – 44 (Russian).
[4] S. P. Franklin and J. K. Kohli, On open extensions of maps, Canad. J. Math. 22 (1970), 691 – 696. · Zbl 0197.49103 · doi:10.4153/CJM-1970-077-5 · doi.org
[5] J. K. Kohli, Open extensions of maps, finite-to-one maps and dimension (preprint). · Zbl 0323.54007
[6] V. V. Proizvolov, On finite-to-one open mappings, Dokl. Akad. Nauk SSSR 166 (1966), 38 – 40 (Russian).
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