# finite character

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## finite character

[′fī‚nīt ′kar·ik·tər] (mathematics)

A property of a family

*C*of sets such that any finite subset of a member of*C*belongs to*C*, and*C*includes any set all of whose finite subsets belong to*C*.A characteristic of a property of subsets of a set such that a subset

*S*has the property if and only if all the nonempty finite subsets of*S*have the property.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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