Intervals without Critical Triples

نویسندگان

  • PETER CHOLAK
  • RICHARD SHORE
چکیده

This paper is concerned with the construction of intervals of computably enumerable degrees in which the lattice M5 (see Figure 1) cannot be embedded. Actually, we construct intervals I of computably enumerable degrees without any weak critical triples (this implies that M5 cannot be embedded in I, see Section 2). Our strongest result is that there is a low2 computably enumerable degree e such that there are no weak critical triples in either of the intervals [0, e] or [e, 0].

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تاریخ انتشار 1997