Takashi Yamazoe

activity

20242026

collaborators

6 papers

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 CieÅlak, Takehiko Gappo, Arturo MartÃnez-Celis +1

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

math.LO2025

CichoÅ's maximum with cardinals of the closed null ideal

Takashi Yamazoe

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

math.LO2025

CichoÅ's maximum with evasion number

Takashi Yamazoe

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

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…

Evasion numbers via zero-prediction

Cardinal invariants of idealized Miller null sets

CichoÅ's maximum with cardinals of the closed null ideal

CichoÅ's maximum with evasion number

Notes on slalom prediction

Game-theoretic variants of splitting number

CichoÅ's maximum with cardinals of the closed null ideal

CichoÅ's maximum with evasion number