Global square

Global square

Global square is an important concept in set theory, a branch of mathematics. Define Sing to be the class of all limit ordinals which are not regular. "Global square" states that there is a system $(C_eta)_{eta in Sing}$ satisfying:

# $C_eta$ is a club set of $eta$ .
# ot $(C_eta) < eta$
# If $gamma$ is a limit point of $C_eta$ then $gamma in Sing$ and $C_gamma = C_eta cap gamma$

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