Peter Krautzberger · on the web

Red workbook, p13


red workbook, p13-1
Red Workbook, p.13, part 1
red workbook, p13-2
Red Workbook, p.13, part 2


First page

Second page

partial Translation

First page

Second page


We're back to Sabine Koppelberg's talks about basic results (with four more pages to come). This time, tackling the not-so-basic notions of collectionwise thick/pws sets. These notions are cricital for analysing sets the minimal ideal -- and equally elusive.

I'm not very happy with notation here; it seems to sacrifice accessibility over corrrectness. A sloppier notation might be helpful. In addition, "collectionwise" is a cumbersome prefix. I'd go for "uniformly" or "coherently" as they are often used in the context of filters (and this is what "collectionwise" is all about). But it probably wouldn't help to add yet another terminology.

Funny thing. I actually spent my last few weeks in Michigan thinking about these notions.