Baire classification and infinite perceptrons

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Baire classification and infinite perceptrons. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 2, pp. 373-396

MSC: 05C99, 26A21, 54C50, 68Q45, 92-00, 94A20, 94C10 | MR 0337700 | Zbl 0243.26004

References:

[1] N. BARI: Mémoire sur la représentation finie des fonctions continues. Math. Ann. 103 (1930), 145-248, 598-653. MR 1512640

[2] E. ČECH: Topological Spaces. Rev. by Z. Frolík and M. Katětov. Academia, 1966. MR 0211373

[3] K. KURATOWSKI: Topology. vol. I. New edition, revised and augmented. Academic Press, PWN, 1966. MR 0217751 | Zbl 0163.17002

[4] M. MINSKY S. PAPERT: Perceptrons. An introduction to computational geometry. The MIT Press, 1969.

[5] P. ROSENBLATT: Principles of neurodynamics. Perceptrons and the theory of brain mechanisms. Spartan Books, 1962. MR 0135635 | Zbl 0143.43504

[6] A. G. VITUŠKIN G. M. HENKIN: Linejnyje superpozicii funkcij. Uspehi Matem. Nauk 22 (1967), no. 1, 77-124. MR 0237729

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