Question: 1-1. Define what a topological space is. 1-2. Define what a converging sequence in a topological space is. 1-3. Define what a compact set

1-1. Define what a topological space is. 1-2. Define what a converging

1-1. Define what a topological space is. 1-2. Define what a converging sequence in a topological space is. 1-3. Define what a compact set in a topological space is. 1-4. Define what a Hausdorff topological space is, and show that any metric space (E, d) is a Haus- dorff topological space for the underlying topology.

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