Q.

Consider the set N* of finite sequences of natural numbers with a denoting that sequence a is a prefix of sequence b. Then, which of the following is true?

A. every non-empty subset of has a greatest lower bound
B. it is uncountable
C. every non-empty finite subset of has a least upper bound
D. every non-empty subset of has a least upper bound
Answer» A. every non-empty subset of has a greatest lower bound
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