Classical Analogues of Embedding Dimension: Inductive Embedding Dimension
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology and set theory, Tome 247 (2004), pp. 291-293.

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The concept of inductive embedding dimension is introduced by analogy with the classical concept of inductive dimension, and its properties are studied.
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M. A. Shtan'ko. Classical Analogues of Embedding Dimension: Inductive Embedding Dimension. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology and set theory, Tome 247 (2004), pp. 291-293. http://geodesic.mathdoc.fr/item/TM_2004_247_a21/

[1] Shtanko M. A., “Vlozhenie kompaktov v evklidovo prostranstvo”, II Tiraspolskii simpozium po obschei topologii i ee prilozheniyam, Kishinev, 1969, 97

[2] Shtanko M. A., “Vlozhenie kompaktov v evklidovo prostranstvo”, DAN SSSR, 186:6 (1969), 1269–1272

[3] Shtanko M. A., “Vlozhenie kompaktov v evklidovo prostranstvo”, Mat. sb., 83:2 (1970), 234–255

[4] Shtanko M. A., Vlozhenie kompaktov i approksimatsiya kompaktov, Dis. $\dots$ dokt. fiz.-mat. nauk, MIAN, M., 1983

[5] Bryant J. L., “On embedding of compacta in Euclidean space”, Proc. Amer. Math. Soc., 23 (1969), 46–51 | DOI | MR | Zbl

[6] Bryant J. L., “On embeddings of 1-dimensional compacta in $E^5$”, Duke Math. J., 38 (1971), 265–270 | DOI | MR | Zbl

[7] Edwards R. D., “Demension theory, I”, Lect. Notes Math., 438 (1975), 195–211 | DOI | MR | Zbl

[8] Latour F., “Double suspension d'une sphère d'homologie”, Lect. Notes Math., 710 (1979), 169–186 | DOI | MR | Zbl