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MAS332 metric spaces

This class was created by Brainscape user Dominique Gabriela. Visit their profile to learn more about the creator.

By: Dominique Gabriela
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Decks in this class (8)

intro
Full deck
1  cards
Chapter 1
Metric space,
Cartesian product,
Lemma 13 x y
24  cards
Chapter 2 Convergence And Sequences
Prop 23 a in xxn d if and only if,
Prop 28 proofunique limit,
Prop 212 convergence of subsequence
25  cards
Chapter 3: Closed and Open sets
Sequence 1 nin 0 1 0 1,
Def 31 closed subset,
Prop 32 convergent sequences in r
26  cards
Chapter 4: Continuity
Thm 44 let f x dx y dy be a map b...,
A function f r r is continuous if,
41 the definition of continuity
19  cards
Chapter 5: Cauchy Sequences and Completeness
Def 51 cauchy sequence,
Lemma 52 cauchy and convergence,
Do cauchy sequences always converge
20  cards
Chapter 6: The Contraction Mapping Principle.
Thm 66 thm 66 the contraction map...,
Thm 69differential criterionproof,
Thm 611 unique point when proof l...
21  cards
Chapter 7: Compactness
Lemma 73subset of compact spaceproof,
Prop 74compact complete closed 2b...,
Def 71 compact
28  cards

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MAS332 metric spaces

  • Class purpose General learning

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