Type two cuts, bad cuts and very bad cut
Copyright policy )Type two cuts, bad cuts and very bad cut
AbstractType two cuts, bad cuts and very bad cuts are introduced in [10] for studying the relationship between Loeb measure and U-topology of a hyperfinite time line in an ω1-saturated nonstandard universe. The questions concerning the existence of those cuts are asked there. In this paper we answer, fully or partially, some of those questions by showing that: (1) type two cuts exist, (2) the ℵ1-isomorphism property implies that bad cuts exist, but no bad cuts are very bad.
- IL Fellowships United States
- College of Charleston United States
type two cuts, hyperfinite time line, bad cuts, Leob measure, Nonstandard models in mathematics, FOS: Mathematics, Mathematics - Logic, nonstandard analysis, Logic (math.LO), U-topology
type two cuts, hyperfinite time line, bad cuts, Leob measure, Nonstandard models in mathematics, FOS: Mathematics, Mathematics - Logic, nonstandard analysis, Logic (math.LO), U-topology
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