Geodesic
On inductive dimensions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 7-10 
V. A. Chatyrko. On inductive dimensions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 7-10. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a1/
@article{VMUMM_1983_2_a1,
     author = {V. A. Chatyrko},
     title = {On inductive dimensions},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {7--10},
     year = {1983},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a1/}
}
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We give a definition of dimensional functions $\sigma_f\operatorname{Ind}$, $\sigma_f\operatorname{ind}$ and then prove some factorization theorems for these functions in the class of compact spaces. We show the nonexistence of the universal space in the class of compact spaces $X$ with $\sigma\operatorname{Ind}X\le1$ and $w X\le\varepsilon$.