Correction to my Paper “Closed Basic Retracing Functions and Hyperimmune Sets”

✍ Scribed by T. G. McLaughlin

• Publisher: John Wiley and Sons
• Year: 1976
• Tongue: English
• Weight: 49 KB
• Volume: 22
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.19760220138

✦ Synopsis

The following small but important changes should be made in [l], to insure that f is 1) On p. 50: replace "y E df(s)" by "y E ef")" in line 26, and " q E cYfs)" by ''qEpf(8)''

2. On p. 51, re-write line 4 as follows: "@(a), h

( ( p ) [h(z) > h(n)])) s

& 3) On p. 51, in the statement of property (S,J: replace "y E dp)" by "y E ,oj(s)".

These changes having been made, the remainder of the argument works aa written, since (as is clear upon inspection of the so-revised construction) we have: (a) no number ever initialdy enters @/ without receiving, thereupon, a*; (b) no number, having lost a*, ever regains one; ( 0 ) df@) is &lWtbp an initial segment of N, with max {m I m bears a* at the end of Stage $1 being a member of Dmax~s,D,Eaf(f),; and (d) for any given 5, at most one element of 0, bears a* at any given point in the construction. closed basic. in line 32. 8z ( V 4 P . Z B WS) =$ (V9) b E a * w.4 [W > h(741) < yl;".