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almost compact map; pseudo-open map; almost injective map; discrete family; scattered

References:

[Ku] Kuratowski K.: **Evaluation de la classe boreliénne d'un ensemble de points à l'aide des symboles logiques**. Fund. Math. 17 (1931), 249-272.

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[Ok] Okromeshko N.G.: **Properties of quotient mappings and representation as continuous images (in Russian)**. Candidates Dissertation, Moscow, 1982.

[Pa] Pasynkov B.A.: **On open mappings**. Doklady Akad. Nauk SSSR 175 (1967), 292-295; English transl.: Soviet Math. Dokl. 8 (1967). MR 0217773 | Zbl 0155.50203

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[Us] Uspenskii V.V.: **On spectrum of frequencies of function spaces**. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 37 (1982), 01 31-35. MR 0650600