Type Two Cuts, Bad Cuts and Very Bad Cuts
Jin, Renling
J. Symbolic Logic, Tome 62 (1997) no. 1, p. 1241-1252 / Harvested from Project Euclid
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Type 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 $\omega_1$-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 $\aleph_1$-isomorphism property implies that bad cuts exist, but no bad cuts are very bad.
Publié le : 1997-12-14
Classification:  03H05,  03H15,  03C50 
@article{1183745379,
     author = {Jin, Renling},
     title = {Type Two Cuts, Bad Cuts and Very Bad Cuts},
     journal = {J. Symbolic Logic},
     volume = {62},
     number = {1},
     year = {1997},
     pages = { 1241-1252},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183745379}
}

Jin, Renling. Type Two Cuts, Bad Cuts and Very Bad Cuts. J. Symbolic Logic, Tome 62 (1997) no. 1, pp.  1241-1252. http://gdmltest.u-ga.fr/item/1183745379/