Abstract
Various nonstandard methods of analysis are unified by studying special quite unconventional models of set theory. In particular, the apparatus of Boolean-valued analysis is based on the properties of a certain cumulative hierarchy V(B), with its every succeeding layer composed of all possible functions departing from the preceding layers and arriving at a complete Boolean algebra B chosen beforehand. The principal topics of the present section is constructing such a hierarchy, i.e., the Boolean-valued universe V(B), as well as studying the general properties of V(B).
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© 1994 Springer Science+Business Media Dordrecht
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Kusraev, A.G., Kutateladze, S.S. (1994). Boolean-Valued Universes. In: Nonstandard Methods of Analysis. Mathematics and Its Applications, vol 291. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1136-2_7
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DOI: https://doi.org/10.1007/978-94-011-1136-2_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4497-4
Online ISBN: 978-94-011-1136-2
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