Topology: An Inquiry-Based Approach

Focus Questions

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  What is a lower bound and a greatest lower bound of a subset of $\mathbb{R}\text{?}$
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  What is an upper bound and a least upper bound of a subset of $\mathbb{R}\text{?}$
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  How is a greatest lower bound used to define the distance from a point to a set? Why is it necessary to use a greatest lower bound?