Peter Krautzberger on the web

Red workbook, p10


red workbook, p10
Red Workbook, p.10


partial Translation


The previous page is followed by another attempt of research ideas.

First there’s a note on a basic but important observation for \beta \mathbb{N} – it contains lots of copies of \mathbb{Z} . I remember trying to figure this out and ending up asking Sabine Koppelberg – and the solution took two second, leaving me miserably disappointed by my failure.

To understand the second part of the note, I should explain that my Diplom thesis was about large cardinals and reflection principles. The first few things I tried that summer came out of that perspective – looking at cardinals (as a semingroup with ordinal addition/multiplication), hoping to connect with large cardinal theory. Nothing ever came of it but perhaps we’ll encounter that later in this workbook.