Compact-covering images of metric spaces
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- by E. Michael and K. Nagami
- Proc. Amer. Math. Soc. 37 (1973), 260-266
- DOI: https://doi.org/10.1090/S0002-9939-1973-0307148-4
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Abstract:
Several kinds of compact-covering images of metric spaces are characterized.References
- A. Arhangel′skiĭ, External bases of sets lying in bicompacta, Dokl. Akad. Nauk SSSR 132, 495–496 (Russian); English transl., Soviet Math. Dokl. 1 (1960), 573–574. MR 119188
- A. Arhangel′skiĭ, On factor maps of metric spaces, Dokl. Akad. Nauk SSSR 155 (1964), 247–250 (Russian). MR 163284
- A. V. Arhangel′skiĭ, Bicompact sets and the topology of spaces, Trudy Moskov. Mat. Obšč. 13 (1965), 3–55 (Russian). MR 195046
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175–186. MR 43449, DOI 10.4153/cjm-1951-022-3
- Carlos J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1–16. MR 188982
- N. Bourbaki, Éléments de mathématique. I: Les structures fondamentales de l’analyse. Fascicule VIII. Livre III: Topologie générale. Chapitre 9: Utilisation des nombres réels en topologie générale, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1045, Hermann, Paris, 1958 (French). Deuxième édition revue et augmentée. MR 173226
- M. M. Čoban, Perfect mappings and spaces of countable type, Vestnik Moskov. Univ. Ser. I Mat. Meh. 22 (1967), no. 6, 87–93 (Russian, with French summary). MR 220247
- Geoffrey D. Creede, Concerning semi-stratifiable spaces, Pacific J. Math. 32 (1970), 47–54. MR 254799
- V. V. Filippov, Feathery paracompacta, Dokl. Akad. Nauk SSSR 178 (1968), 555–558 (Russian). MR 227935
- V. V. Filippov, Quotient spaces and the multiplicity of a basis, Mat. Sb. (N.S.) 80(122) (1969), 521–532 (Russian). MR 261566
- Sitiro Hanai, On open mappings. II, Proc. Japan Acad. 37 (1961), 233–238. MR 126822
- R. W. Heath, On spaces with point-countable bases, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), 393–395 (English, with Russian summary). MR 187202 —, On certain first-countable spaces, Ann. of Math. Studies, no. 60, Princeton Univ. Press, Princeton, N.J., 1965, pp. 103-113.
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 217751
- E. Michael, A theorem on semi-continuous set-valued functions, Duke Math. J. 26 (1959), 647–651. MR 109343
- E. Michael, A class of partially ordered sets, Amer. Math. Monthly 67 (1960), 448–449. MR 111703, DOI 10.2307/2309295
- E. Michael, A note on closed maps and compact sets, Israel J. Math. 2 (1964), 173–176. MR 177396, DOI 10.1007/BF02759940
- E. Michael, $\aleph _{0}$-spaces, J. Math. Mech. 15 (1966), 983–1002. MR 206907
- Ernest Michael, Bi-quotient maps and Cartesian products of quotient maps, Ann. Inst. Fourier (Grenoble) 18 (1968), no. fasc. 2, 287–302 vii (1969) (English, with French summary). MR 244964 A. S. Miščenko, Spaces with point-countable base, Dokl. Akad. Nauk SSSR 144 (1962), 985-988=Soviet Math. Dokl. 3 (1962), 855-858. MR 25 #1537.
- Keiô Nagami, Minimal class generated by open compact and perfect mappings, Fund. Math. 78 (1973), no. 3, 227–264. MR 341383, DOI 10.4064/fm-78-3-227-264
- V. Ponomarev, Axioms of countability and continuous mappings, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 8 (1960), 127–134 (Russian, with English summary). MR 116314
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 260-266
- MSC: Primary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0307148-4
- MathSciNet review: 0307148