Topology: An Inquiry-Based Approach

Focus Questions

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  What is a connected subset of a topological space?
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  What is a separation of a subset of a topological space? Why are separations useful?
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  What are the connected subsets of $\mathbb{R}\text{?}$
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  What is a connected component of a topological space?
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  What is an application of connectedness?
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  What is a cut set of a topological space? Why are cut sets useful?