J. C. Martínez

activity

20072019

collaborators

3 papers

math.LO2019

A consistency result on long cardinal sequences

Juan Carlos Martinez, Lajos Soukup

For any regular cardinal $κ$ and ordinal $η < κ^{++}$ it is consistent that $2^{κ}$ is as large as you wish, and every function $f : η \to [κ, 2^{κ}] \cap C a r d$ with $f (α) = κ$ for $c f (α) < κ$ is…

math.LO2010

Superatomic Boolean algebras constructed from strongly unbounded functions

Juan Carlos Martinez, Lajos Soukup

Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that $κ, λ$ are infinite cardinals such that $κ^{+++} \leq λ$ , $κ^{< κ} = κ$ and $2^κ=…

math.LO2007

Cardinal sequences of LCS spaces under GCH

Juan Carlos Martinez, Lajos Soukup

We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on cons…