Peter Krautzberger on the web

Red workbook, p2


red workbook, p2
Red Workbook, p.2


partial translation


My first workbook starts likemost would – with lecture notes.

IIRC, these notes come from series of talks Sabine Koppelberg (my PhD advisor at FU Berlin) gave over the summer 2006 to a small audience (possibly just me? I don’t remember). These talks followed her lecture notes for the course “Ultrafilter, Topologie und Kombinatorik” she gave in the previous semester on all things \beta S . The content is mainly based on Hindman, Strauss, Algebra in the Stone–Čech Compactification, greatly improved by Sabine’s own style.

The next two pages will continue this talk and ~20 pages will follow on the subject (interrupted by exercises and other notes). The topic are dynamical systems and recurrence, the famous Bergelman-Hindman result (as indicated: central = dynamically central), some notes on thick, pieceswise syndetic and the combinatorial description of central as well as the Central Sets Theorem.

It’s funny to see how very inexperienced I was, e.g., the note on the product topology – I really didn’t know that? Wow. Then again, I never took a topology course while getting my Diplom (I could have used a better advisory infrastructure).

It’s also funny (and somewhat alarming) to see how many subjects came up this early. But we’ll get to that…