Math 468

Topics covered so far:

Open and closed sets in Euclidean space Rn.
Details
Countable and uncountable sets
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Naive topological spaces
Properties of open sets in Rn, properties of closed sets.
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Open, closed subsets in an arbitrary naive topological space.
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Connectedness.
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Limit points.
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Continuous functions.
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Homeomorphism.
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Images, preimages, continuity.
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Open covers, compact sets.
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A space-filling curve.
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Surfaces.
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Since I've started using the text book now, I will stop updating this list of topics, or at least I'll stop providing as many details.
Questions or comments? Email me at John.H.Palmieri.2@nd.edu.

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John H. Palmieri, Department of Mathematics, University of Notre Dame, John.H.Palmieri.2@nd.edu