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Literature Cited
J. C. C. McKinsey and A. Tarski, “The algebra of topology,” Ann. Math.,45, No. 1, 141–191 (1944).
J. C. C. McKinsey and A. Tarski, “On closed elements in a closure algebra,” Ann. Math.,47, No. 1, 122–162 (1947).
A. Grzegorczyk, “Undecidability of some topological theories,” Fund. Math.,38, No. 2, 137–152 (1951).
C. G. Jockusch, L. A. Rubel, and G. Takeuti, “First-order topology,” Preprint, Univ. of Illinois, Urbana (1975).
S. Shelah, “The monadic theory of order,” Ann. Math.,102, No. 3, 379–420 (1975).
A. G. Pinus, “Embedding of linearly ordered sets,” Mat. Zametki,11, No. 1, 83–88 (1972).
J. Barwise, “The Hanf numbers of second-order logic,” J. Symbolic Logic,37, No. 3, 588–594 (1972).
J. Flum, “Hanf numbers and well-ordering numbers,” Arch. Math. Logic,15, Nos. 3–4, 164–178 (1972).
A. G. Pinus, “Some remarks on Boolean algebras and topological spaces,” in: Abstracts of Reports of the Sixth Student Scientific Conference at Novosibirsk State University, Vol. 1, Izd. Novosibirsk. Univ., Novosibirsk (1968).
A. I. Mal'tsev, “Regular products of models,” Izv. Akad. Nauk SSSR, Ser. Mat.,23, No. 4, 489–502 (1959).
Yu. L. Ershov, “Decidability of the elementary theory of relatively complemented distributive lattices and the theory of filters,” Algebra Logika,3, No. 3, 17–38 (1964).
R. M. Solovay, “New proof of a theorem of Gaifman and Hales,” Bull. Am. Math. Soc.,72, No. 2, 282–284 (1966).
Additional information
Electrotechnical Institute, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 2, pp. 433–439, March–April, 1979.
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Pinus, A.G. Elementary equivalence of topological spaces. Sib Math J 20, 310–314 (1979). https://doi.org/10.1007/BF00970045
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DOI: https://doi.org/10.1007/BF00970045