Takashi Yamazoe

activity

20242026

collaborators

Showing math.LOShow all

7 papers · 1 filter

math.LO2026

Evasion numbers via zero-prediction

Takashi Yamazoe

Cruz Chapital, Goto, Hayashi and the author showed that the game-theoretic variants $s_{game^{*}}^{I}$ and $s_{game^{**}}^{I}$ o…

math.LO2026

Cardinal invariants of idealized Miller null sets

Aleksander Cieślak, Takehiko Gappo, Arturo Martínez-Celis +1

This paper provides an extensive study of the $I$ -Miller null ideals $M_{I}$ , $σ$ -ideals on the Baire space parametrized by ideals $I$ on countable sets…

math.LO2025

Notes on slalom prediction

Takashi Yamazoe

We study a concept of evasion and prediction associated with slaloms, called slalom prediction. This article collects ZFC-provable properties on the slalom prediction.

math.LO2024

Game-theoretic variants of splitting number

Jorge Antonio Cruz Chapital, Tatsuya Goto, Yusuke Hayashi +1

We consider combining the definition of a cardinal invariant and the notion of an infinite game. We focus on the splitting number $s$ since the corresponding cardinal in…

math.LO2024

Cichoń's maximum with cardinals of the closed null ideal

Takashi Yamazoe

Let $E$ denote the $σ$ -ideal generated by closed null sets on the reals. We show that the uniformity and the covering of $E$ can be added to Cichoń's maximum wi…

math.LO2024

Notes on the coexistence of limit notions

Takashi Yamazoe

We summarize the current knowledge on the three limit notions: ultrafilter-limits, closed-ultrafilter-limits and FAM-limits. Also, we consider the possibility to perform an iterati…

math.LO2024

Cichoń's maximum with evasion number

Takashi Yamazoe

We show that the evasion number $e$ can be added to Cichoń's maximum with a distinct value. More specifically, it is consistent that $\aleph_1<\mathrm{add}(\mathcal{N})<…