Lecture notes
Compact Sets
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Introduce and provide proof for compact sets, that is a set that is both bounded and closed, hence the Heine-Borel theorem. Then introduce the perfect set, the connected/disconnected sets, and lastly the canter set, write proofs for all three.
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Connected book
Understanding Analysis
- 2012
- 9780387215068
- Unknown
Written for
- Institution
- University Of North Carolina - Chapel Hill
- Module
- Math 521 (MATH521)
All documents for this subject (11)
Document information
- Uploaded on
- June 7, 2023
- Number of pages
- 4
- Written in
- 2022/2023
- Type
- Lecture notes
- Professor(s)
- Idris assani
- Contains
- All classes
Subjects
-
compact sets
-
subsequence
-
convergence
-
epsilon
-
calculus
-
advanced calculus
-
proofs
-
heine borel theorem
-
contradiction
-
bounded
-
closed set
-
reverse implication
-
counter set
-
canter s
-
density of rational numbers
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