MEASURE OF NONCOMPACTNESS ON UNIFORM SPACES
Mathematica Moravica, Tome 2 (1998) no. 1.

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In this paper we define measure of noncompactness on arbitrary uniform spaces, and give some their properties. We also give one characterization of complete uniform spaces. 
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Ivan Aranđelović. MEASURE OF NONCOMPACTNESS ON UNIFORM SPACES. Mathematica Moravica, Tome 2 (1998) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_1998_2_1_a0/