Basic Notions: Forcing
Wednesday, 5.11.14, 16:30-17:30, Raum 404, Eckerstr. 1
Y-c.c. and Y-proper forcings
Wednesday, 12.11.14, 16:30-17:30, Raum 404, Eckerstr. 1
Representing sets of cofinal branches as continuous images
Wednesday, 19.11.14, 16:30-17:30, Raum 404, Eckerstr. 1
Let \(\bkappa\) be an infinite cardinal and \(T\) be a tree of height \(\bkappa\). We equip the set \([T]\) of all branches of length \(\bkappa\) through \(T\) with the topology whose basic open subsets are sets of all branches containing a given node in \(T\). Given a cardinal \(\bnu\), we consider the question whether \([T]\) is equal to a continuous image of the tree of all functions \(s:\balpha\blongrightarrow\bnu\) with \(\balpha<\bkappa\). This is joint work with Philipp Schlicht.\n\n
Overview of the generalized combinatorial cardinal characteristics
Wednesday, 26.11.14, 16:30-17:30, Raum 404, Eckerstr. 1
I will talk about how the combinatorial cardinal characteristics\nreviewed in [Blass, Combinatorial Cardinal Characteristics of the\nContinuum] can be generalized to uncountable cardinals kappa and what is\nknown about consistency results for them.\n\n