An example of a bounded approximately compact set that is not compact
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 49 (1994) no. 4, pp. 153-154
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     author = {P. A. Borodin},
     title = {An example of a~bounded approximately compact set that is not compact},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {153--154},
     year = {1994},
     volume = {49},
     number = {4},
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     url = {http://geodesic.mathdoc.fr/item/RM_1994_49_4_a8/}
}
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P. A. Borodin. An example of a bounded approximately compact set that is not compact. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 49 (1994) no. 4, pp. 153-154. http://geodesic.mathdoc.fr/item/RM_1994_49_4_a8/

[1] Efimov N. V., Stechkin S. B., DAN SSSR, 140:3 (1961) | MR | Zbl

[2] Vlasov L. P., UMN, 28:6 (1973) | MR