chain condition

A partial orderMathworldPlanetmath P satisfies the κ-chain condition if for any SP with |S|=κ then there exist distinct x,yS and some p such that px and py.

If κ=1 then P is said to satisfy the countable chain condition (c.c.c.)

Title chain condition
Canonical name ChainCondition
Date of creation 2013-03-22 12:53:38
Last modified on 2013-03-22 12:53:38
Owner Henry (455)
Last modified by Henry (455)
Numerical id 7
Author Henry (455)
Entry type Definition
Classification msc 03E35
Related topic PartialOrder
Related topic PartialOrderWithChainConditionDoesNotCollapseCardinals
Defines chain condition
Defines countable chain condition
Defines κ-chain condition
Defines c.c.c.
Defines ccc