Finite-to-one maps and open extensions of maps
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- by J. K. Kohli PDF
- Proc. Amer. Math. Soc. 48 (1975), 464-468 Request permission
Abstract:
In the class of $p$-spaces it is shown that (a) infinite weight is not lowered by finite-to-one maps which are open except at finitely many points, (b) metrizability is inversely preserved under finite-to-one maps which are open except at finitely many points.References
- 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. MR 0174030 —, 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.
- M. M. Čoban, Finite-to-one open maps, Dokl. Akad. Nauk SSSR 174 (1967), 41–44 (Russian). MR 0215286
- S. P. Franklin and J. K. Kohli, On open extensions of maps, Canadian J. Math. 22 (1970), 691–696. MR 264626, DOI 10.4153/CJM-1970-077-5 J. K. Kohli, Open extensions of maps, finite-to-one maps and dimension (preprint).
- V. V. Proizvolov, On finite-to-one open mappings, Dokl. Akad. Nauk SSSR 166 (1966), 38–40 (Russian). MR 0188991
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 464-468
- MSC: Primary 54C10; Secondary 54E10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370472-5
- MathSciNet review: 0370472