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convexor; convex compactum; (strongly) semiconvex compactum; left adjoint functor

References:

[1] Adams J.F.: **Lectures on Lie Groups**. W.A. Benjamin Inc, New York-Amsterdam, 1969. MR 0252560 | Zbl 0515.22007

[2] Eilenberg S., Moore J.C.: **Adjoint functors and triples**. Ill. Univ. J. Math. 9 (1965), 381-398. MR 0184984 | Zbl 0135.02103

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[6] Melnikov O.V., Remeslennikov V.N., Romankov V.A. et al.: **General Algebra (in Russian)**. vol. 2, Skornyakov L.A. (ed), Nauka, 1990. MR 1137273

[7] Glushkov V.M.: **Structure of locally bicompact groups and the fifth problem of Hilbert (in Russian)**. Uspekhi Mat. Nauk 12 (1957), 3-41. MR 0101892

[8] Kantorovich L.V., Rubinstein G.Sh.: **On one functional space in some extremal problems (in Russian)**. Dokl. Akad. Nauk. SSSR 115 (1957), 1058-1061. MR 0094707

[9] Świrszcz T.: **Monadic functors and convexity**. Bull. Acad. Pol. Sci., Sér. Sci. Math., Astr. et Phys. 22 (1974), 39-42. MR 0390019