Page 1 Next

Displaying 1 – 20 of 32

Showing per page

Macaulay posets.

Bezrukov, Sergei L., Leck, Uwe (2004)

The Electronic Journal of Combinatorics [electronic only]

Minimality of non-σ-scattered orders

Tetsuya Ishiu, Justin Tatch Moore (2009)

Fundamenta Mathematicae

We will characterize-under appropriate axiomatic assumptions-when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA⁺, the only linear orders which are minimal with respect to not being σ-scattered are either Countryman types or real types. We also outline a plausible approach to demonstrating the relative consistency of: There are no minimal non-σ-scattered linear orders. In the process of establishing these results, we will...

Currently displaying 1 – 20 of 32

Page 1 Next