3 papers
math.LO2025
A consistency theorem for cardinal sequences of length
Juan Carlos Martínez, Lajos Soukup
We prove that if is a fixed uncountable cardinal and $f = \langle \ka_{\al} : \al < δ\rangle$ is a sequence of infinite cardinals where and $\ka_{\al}\in \{\om,λ\}$ fo…
math.LO2021
Constructions of Lindelöf scattered P-spaces
Juan Carlos Martínez, Lajos Soukup
We construct locally Lindelöf scattered P-spaces (LLSP spaces, in short) with prescribed widths and heights under different set-theoretic assumptions. We prove that there is an LLS…
math.LO2018
On cardinal sequences of length < omega3
Juan Carlos Martínez, Lajos Soukup
We prove the following consistency result for cardinal sequences of length $< \om_3$: if GCH holds and $\la \geq \om_2$ is a regular cardinal, then in some cardinal-preserving gene…