Geodesic
Solution of a problem of P. S. Aleksandrov. (A compact space with distinct inductive dimensions)
Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 41-57 Cet article a éte moissonné depuis la source Math-Net.Ru

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A compact space $X$ with $\operatorname{dim}X=\operatorname{ind}X=2$, $\operatorname{Ind}X=3$ is constructed. This answers in the negative a question of P. S. Aleksandrov whether $\operatorname{ind}$ and $\operatorname{Ind}$ coincide for compact spaces. Bibliography: 14 titles. 
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V. V. Filippov. Solution of a problem of P. S. Aleksandrov. (A compact space with distinct inductive dimensions). Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 41-57. http://geodesic.mathdoc.fr/item/SM_1970_12_1_a2/

[1] P. S. Aleksandrov, “Einige Problemstellungen in der mengentheoretischen Topologie”, Matem. sb., 1(43) (1936), 3–80

[2] P. Vopenka, “O razmernosti kompaktnykh prostranstv”, Czechoslov. Math. J., 8:3 (1958), 319–327 | MR | Zbl

[3] Dzh. L. Kelli, Mir, Moskva, 1968

[4] I. K. Lifanov, V. V. Filippov, “Dva primera k teorii razmernosti bikompaktov”, DAN SSSR, 192:1 (1970), 26–29 | MR | Zbl

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[6] A. L. Lunts, “Bikompakt, induktivnaya razmernost kotorogo bolshe, chem razmernost, opredelennaya pri pomoschi pokrytii”, DAN SSSR, 66:5 (1949), 801–803 | Zbl

[7] J. G. Ceder, “On maximally resolvable spaces”, Fundam. Math., 55:1 (1964), 87–93 | MR | Zbl

[8] V. V. Fedorchuk, “O bikompaktakh s nesovpadayuschimi razmernostyami”, DAN SSSR, 182:2 (1968), 275–277 | Zbl

[9] V. V. Filippov, “Bikompakt s nesovpadayuschimi induktivnymi razmernostyami”, DAN SSSR, 184:5 (1969), 1050–1053 | MR | Zbl

[10] V. V. Filippov, “Bikompakt s pervoi aksiomoi schetnosti s nesovpadayuschimi razmernostyami $\mathrm{ind}$ i $\dim$”, DAN SSSR, 186:5 (1969), 1020–1022 | Zbl

[11] B. A. Pasynkov, “O bikompaktakh s nesovpadayuschimi razmernostyami”, DAN SSSR, 192:3 (1970), 503–506 | MR | Zbl

[12] B. A. Pasynkov, I. K. Lifanov, “Primery bikompaktov s nesovpadayuschimi induktivnymi razmernostyami”, DAN SSSR, 192:2 (1970), 276–278 | MR | Zbl

[13] V. V. Filippov, “O bikompaktakh s nesovpadayuschimi induktivnymi razmernostyami”, DAN SSSR, 192:2 (1970), 289–293

[14] V. V. Filippov, “O bikompaktakh s nesovpadayuschimi razmernostyami $\mathrm{ind}$ i $\dim$”, DAN SSSR, 192:3 (1970), 516–519 | MR | Zbl