Kusraev, A. G.; Kutateladze, S. S. On combining non-standard methods. I: Monadology. (English. Russian original) Zbl 0725.03047 Sib. Math. J. 31, No. 5, 762-769 (1990); translation from Sib. Mat. Zh. 31, No. 5(183), 69-78 (1990). See the review in Zbl 0716.03048. MSC: 03H99 Nonstandard models 03E40 Other aspects of forcing and Boolean-valued models 46S20 Nonstandard functional analysis Keywords:infinitesimal; imbedding of internal sets into a Boolean-valued universe; cyclic monads Citations:Zbl 0716.03048 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] A. G. Kusraev and S. S. Kutateladze, Non-Standard Methods of Analysis [in Russian], Nauka, Novosibirsk (1990). · Zbl 0716.03048 [2] S. S. Kutateladze, ?Cyclic monads and their applications,? Sib. Mat. Zh.,27, No. 1, 100-110 (1986). · Zbl 0596.03065 [3] S. S. Kutateladze, ?Monads of proultrafilters and extensional filters,? Sib. Mat. Zh.,30, No. 1, 129-133 (1989). · Zbl 0667.03050 [4] B. Benninghofen and M. Richter, ?A general theory of superinfinitesimals,? Fund. Math.,128, No. 3, 199-215 (1987). · Zbl 0633.03067 [5] A. G. Kusraev, ?Boolean-valued analysis of the duality of extended modules,? Dokl. Akad. Nauk SSSR,267, No. 5, 1049-1052 (1982). · Zbl 0538.46059 [6] S. S. Kutateladze, ?On topological concepts similar to continuity,? Sib. Mat. Zh.,28, No. 1, 149-156 (1987). · Zbl 0636.54040 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.