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Isolation and lattice embeddings

Journal of Symbolic Logic 67 (3):1055-1064 (2002)

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The d.r.e. degrees are not dense.S. Barry Cooper, Leo Harrington, Alistair H. Lachlan, Steffen Lempp & Robert I. Soare - 1991 - Annals of Pure and Applied Logic 55 (2):125-151.details By constructing a maximal incomplete d.r.e. degree, the nondensity of the partial order of the d.r.e. degrees is established. An easy modification yields the nondensity of the n-r.e. degrees and of the ω-r.e. degrees. Download Export citation Bookmark 31 citations
The Isolated D. R. E. Degrees are Dense in the R. E. Degrees.Geoffrey Laforte - 1996 - Mathematical Logic Quarterly 42 (1):83-103.details In the present paper we prove that the isolated differences of r. e. degrees are dense in the r. e. degrees. Download Export citation Bookmark 13 citations
Isolation and the high/low hierarchy.Shamil Ishmukhametov & Guohua Wu - 2002 - Archive for Mathematical Logic 41 (3):259-266.details Say that a d.c.e. degree d is isolated by a c.e. degree b, if bMathematics Subject Classification (2000): 03D25, 03D30, 03D35 RID=""ID="" Key words or phrases: Computably enumerable (...) Download Export citation Bookmark 11 citations
Isolated d.r.e. degrees are dense in r.e. degree structure.Decheng Ding & Lei Qian - 1996 - Archive for Mathematical Logic 36 (1):1-10.details Download Export citation Bookmark 6 citations

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