论文标题

强烈反思原理的规​​范碎片

Canonical fragments of the strong reflection principle

论文作者

Fuchs, Gunter

论文摘要

For an arbitrary forcing class $Γ$, the $Γ$-fragment of Todorcevic's strong reflection principle SRP is isolated in such a way that (1) the forcing axiom for $Γ$ implies the $Γ$-fragment of SRP, (2) the stationary set preserving fragment of SRP is the full principle SRP, and (3) the subcomplete fragment of SRP implies子集合迫使公理的主要后果。一路走来,探索了迄今(SRP的子集成片段)对相互平稳性的某些未知影响,并且在SRP的片段可能捕获其相应强迫公理的影响的程度上,某些局限性得到了限制。

For an arbitrary forcing class $Γ$, the $Γ$-fragment of Todorcevic's strong reflection principle SRP is isolated in such a way that (1) the forcing axiom for $Γ$ implies the $Γ$-fragment of SRP, (2) the stationary set preserving fragment of SRP is the full principle SRP, and (3) the subcomplete fragment of SRP implies the major consequences of the subcomplete forcing axiom. Along the way, some hitherto unknown effects of (the subcomplete fragment of) SRP on mutual stationarity are explored, and some limitations to the extent to which fragments of SRP may capture the effects of their corresponding forcing axioms are established.

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