Cds202-hw1_wi09 - 3 MTA 1.3-7 Representations of the circle...

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CALIFORNIA INSTITUTE OF TECHNOLOGY Control and Dynamical Systems CDS 202 R. Murray Winter 2009 Problem Set #1 Issued: 8 Jan 09 Due: 15 Jan 09 Reading: Abraham, Marsden, and Ratiu, Ch 1. Problems: 1. MTA 1.2-3: Show that every separable metric space is second countable. 2. MTA 1.2-8: Metrics on function spaces.
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Unformatted text preview: 3. MTA 1.3-7: Representations of the circle. 4. MTA 1.3-8: Identity map between discrete and trivial topologies. 5. MTA 1.4-5: Continuous mappings and their graphs. 6. MTA 1.5-8(i) and MTA 1.6-2: Compactness and connectedness of SO(3)....
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