The strong reflecting property and Harrington's Principle

math.LO

/ Authors

/ Abstract

In this paper we characterize the strong reflecting property for $L$-cardinals for all $ω_n$, characterize Harrington's Principle $HP(L)$ and its generalization and discuss the relationship between the strong reflecting property for $L$-cardinals and Harrington's Principle $HP(L)$.

The strong reflecting property and Harrington's Principle

math.LO

/ Authors

Yong Cheng

/ Abstract

In this paper we characterize the strong reflecting property for $L$-cardinals for all $ω_n$, characterize Harrington's Principle $HP(L)$ and its generalization and discuss the relationship between the strong reflecting property for $L$-cardinals and Harrington's Principle $HP(L)$.