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We present principles for guessing clubs in the generalized club filter on Pκλ. These principles are shown to be weaker than classical diamond principles but often serve as sufficient substitutes. One application is a new construction of a λ-Suslin-tree using assumptions different from previous constructions. The other application partly solves open… (More)

- Bernhard König, Yasuo Yoshinobu
- Math. Log. Q.
- 2004

Empty p0 p2 . . . pξ pξ+2 . . . Nonempty p1 p3 . . . pξ+1 pξ+3 . . . where pξ, ξ < α, is descending in P and Nonempty wins the game of length α if he can play α times. A poset P is called weakly α-game-closed if Player Nonempty has a winning strategy in the Banach-Mazur game of length α, where Nonempty is allowed to play at limit stages. P is called… (More)

- Yasuo Yoshinobu
- J. Symb. Log.
- 2003

- Masaru Kada, Kazuo Tomoyasu, Yasuo Yoshinobu
- 2004

It is known that the Stone-Čech compactification βX of a noncompact metrizable space X is approximated by the collection of Smirnov compactifications of X for all compatible metrics on X. We investigate the smallest cardinality of a set D of compatible metrics on the countable discrete space ω such that, βω is approximated by Smirnov compactifications for… (More)

- Bernhard König, Yasuo Yoshinobu
- J. Symb. Log.
- 2012

- Masaru Kada, Kazuo Tomoyasu, Yasuo Yoshinobu
- 2006

It is known that the Stone–Čech compactification βX of a metrizable space X is approximated by the collection of Smirnov compactifications of X for all compatible metrics on X. If we confine ourselves to locally compact separable metrizable spaces, the corresponding statement holds for Higson compactifications. We investigate the smallest cardinality of a… (More)

- Masaru Kada, Kazuo Tomoyasu, Yasuo Yoshinobu
- 2004

It is known that the Stone–Čech compactification βX of a metrizable space X is approximated by the collection of Smirnov compactifications of X for all compatible metrics on X. If we confine ourselves to locally compact separable metrizable spaces, the corresponding statement holds for Higson compactifications. We investigate the smallest cardinality of a… (More)

- Yasuo Yoshinobu
- Ann. Pure Appl. Logic
- 2017

- Yasuo Yoshinobu
- Ann. Pure Appl. Logic
- 2013

- David Asperó, John Krueger, Yasuo Yoshinobu
- Ann. Pure Appl. Logic
- 2009

We present several forcing posets for adding a non-reflecting stationary subset of Pω1 (λ), where λ ≥ ω2. We prove that PFA is consistent with dense non-reflection in Pω1 (λ), which means that every stationary subset of Pω1 (λ) contains a stationary subset which does not reflect to any set of size א1. If λ is singular with countable cofinality, then dense… (More)