From f014ed08112c8deb0b54057e0dca61a05c0256c9 Mon Sep 17 00:00:00 2001 From: "David A. Madore" Date: Sat, 29 Jul 2017 21:50:56 +0200 Subject: Add disclaimers. --- ordinal-zoo.tex | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/ordinal-zoo.tex b/ordinal-zoo.tex index 86cde74..e651d0e 100644 --- a/ordinal-zoo.tex +++ b/ordinal-zoo.tex @@ -55,6 +55,10 @@ Git: \input{vcline.tex} \textbf{\textcolor{red}{Preliminary version:}} the labels in this document are subject to change. +None of these results are mine. The purpose of this document is +simply to collect various pointers to the literature, grouping them by +ordinals they are concerned with, and order these ordinals by size. + \section{Recursive ordinals} \setcounter{comcnt}{-1} @@ -488,6 +492,9 @@ compact, etc. \section{Various statements} +Again, none of these statements is due to me, they are well-known +facts for which I couldn't find a suitable published proof. + \begin{prop}\label{PlusPlusStableOrdinalIsSigmaOneOneReflecting} If $\alpha$ is such that $L_\alpha \mathrel{\preceq_1} L_{\alpha^{++}}$ (where $\alpha^+,\alpha^{++}$ are the two smallest -- cgit v1.2.3