Components and inductive dimensions of compact spaces

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1. Arkhangel'skiǐ, A. V., The spectrum of frequencies of a topological space and the product operation, Tr. Mosk. Mat. Obshch. 40 (1979), 171-206 Russian. (1979) MR0550259
2. Charalambous, M. G., Two new inductive dimension functions for topological spaces, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 18 (1975), 15-25. (1975) MR0420576
3. Charalambous, M. G., Chatyrko, V. A, Some estimates of the inductive dimensions of the union of two sets, Topology Appl. 146-147 (2005), 227-238. (2005) Zbl1063.54025MR2107148
4. Chatyrko, V. A., Compact spaces with noncoinciding dimensions, Tr. Mosk. Mat. Obshch. 53 (1990), 192-228, 261 Russian English transl.: Trans. Moscow Math. Soc. (1991), 199-236. (1991) MR1097997
5. Chatyrko, V. A., On properties of subsets of $[0,{\omega }_{𝔠}]\times I$, Quest. Answers Gen. Topology 26 (2008), 97-104. (2008) MR2462305
6. Chatyrko, V. A., Kozlov, K. L., Pasynkov, B. A., 10.1016/S0166-8641(99)00092-9, Topology Appl. 107 (2000), 39-55. (2000) MR1783832DOI10.1016/S0166-8641(99)00092-9
7. Chatyrko, V. A., Kozlov, K. L., Pasynkov, B. A., On another approach to constructing compacta with different dimensions $\dim$ and $\mathrm{ind}$, Topology Proc. 25 (2000), 43-72. (2000) MR1925677
8. Engelking, R., General Topology, Heldermann Verlag Berlin (1989). (1989) Zbl0684.54001MR1039321
9. Engelking, R., Theory of Dimensions, Finite and Infinite, Heldermann Lemgo (1995). (1995) Zbl0872.54002MR1363947
10. Fedorchuk, V. V., Fully closed maps and their applications, Fundam. Prikl. Mat. 9 (2003), 105-235 Russian English transl.: J. Math. Sci. (N. Y.) 136 (2006), 4201-4292. (2006) MR2093414
11. Filippov, V. V., On the inductive dimension of the product of bicompacta, Dokl. Akad. Nauk SSSR 202 (1972), 1016-1019 Russian English transl.: Sov. Math., Dokl. 13 (1972), 250-254. (1972) Zbl0243.54032MR0292043
12. Ivanov, A. V., The dimension of not perfectly normal spaces, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 31 no. 4 (1976), 21-27 Russian English transl.: Moscow Univ. Math. Bull. 31 (1976), 64-69. (1976) MR0423319
13. Krzempek, J., Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua, Preprint in Math Arxiv. Available at http://arxiv.org/ (arXiv:0805.2087v3) (to appear) in Colloq. Math. MR2672270
14. Lokucievskiǐ, O. V., On the dimension of bicompacta, Dokl. Akad. Nauk SSSR 67 (1949), 217-219 Russian. (1949) MR0030750
15. Lunc, A. L., A bicompactum whose inductive dimension is larger than the covering dimension, Dokl. Akad. Nauk SSSR 66 (1949), 801-803 Russian. (1949) MR0030749
16. Vopěnka, P., On the dimension of compact spaces, Czechoslovak Math. J. 8 (1958), 319-327 Russian. (1958) MR0102068