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Apr 16, 2017 at 3:32 history edited Mohammad Golshani CC BY-SA 3.0
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Apr 10, 2017 at 11:54 comment added Mohammad Golshani See statement (C) in his paper.
Apr 10, 2017 at 11:53 comment added Mohammad Golshani No, I don't take such objects as trees, I may also say that by special tree I mean something a little different. See Todorcevic's paper mentioned above in which the consistency of the statement for $\aleph_1$ is stated. For higher successors of regulars, Shelah and I have proved the consistency of the statement.
Apr 10, 2017 at 11:34 comment added Joel David Hamkins If we view $\kappa$ itself as a linear order, then it is a tree of height and size $\kappa$, but it cannot be special. Doesn't this show that $\text{MP}_*$ is inconsistent?
Apr 10, 2017 at 5:36 history edited Mohammad Golshani CC BY-SA 3.0
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Apr 10, 2017 at 5:35 comment added Mohammad Golshani You are right, I edited it.
Apr 10, 2017 at 5:28 comment added Péter Komjáth I am confused. If $\kappa=\tau^+$, then the condition in $(MP_*)$ gives $2^\tau=\tau^{+3}$.
Apr 10, 2017 at 4:28 history asked Mohammad Golshani CC BY-SA 3.0