References
E. I. Gordon, “Real numbers in Boolean-valued models of set theory andK-spaces,” Soviet Math. Dokl.,18, No. 6, 1481–1484 (1978).
A. G. Kusraev and S. S. Kutateladze, Nonstandard Methods of Analysis, Kluwer, Dordrecht (1994).
È. Yu. Emel'yanov, “The order and regular hulls of Riesz spaces,” Siberian Math. J.,35, No. 6, 1101–1109 (1994).
E. Yu. Emel'yanov, “Infinitesimal analysis and vector lattices,” Siberian Adv. Math.,6, No. 1, 19–70 (1996).
S. A. Albeverio, J. F. Fenstad, R. J. Höegh-Krohn, and T. L. Lindström, Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Academic Press (1986).
H. Conshor, “Enlargements contain various kinds of completions,” in: Victoria Symposium of Nonstandard Analysis, 1974, pp. 60–79. (Lecture Notes in Math.,369).
R. Sikorski, Boolean Algebras, Springer, Berlin and New York (1964).
E. I. Gordon, “K-spaces in Boolean-valued models of set theory,” Soviet Math. Dokl.,23, No. 3, 579–582 (1981).
Additional information
The research was supported by the International Science Foundation (Grants NYU OOO and NYU 300).
Novosibirisk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 2, pp. 286–296, March–April, 1997.
Translated by S. G. Gorokhova
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Emel'yanov, È.Y. Invariant homomorphisms of nonstandard enlargements of boolean algebras and vector lattices. Sib Math J 38, 244–252 (1997). https://doi.org/10.1007/BF02674623
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DOI: https://doi.org/10.1007/BF02674623