AssignedProblemsMA439F10

# AssignedProblemsMA439F10 - 9 Problem 2.4.5 ↑ KB SK KN...

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Problems assigned in MA439 Leo Livshits September 29, 2010 1 Problems 1 Problem. Suppose μ : P ([0 , 1]) -→ R + is deﬁned by μ ( S ) = sup( S ) - inf( S ) Is μ additive/countably additive? KB SK KN Declared: * * Correctly prsnted: 2 Problem. Find examples of semi-algebras (that are NOT algebras) other than the semi- algebra of intervals, and its close relatives. KB SK KN Declared: Correctly prsnted: Sept 20 Sept 20 3 Problem. Is “disjoint union” necessary in the deﬁnition of semi-algebra? KB SK KN Declared: Correctly prsnted: 4 Problem. Prove that an intersection of σ -algebras is still a σ -algebra. Leo did it (Sept. 20) 5 Problem. Any open set in R is a countable disjoint union of open intervals. KB SK KN Declared: * Correctly prsnted: Sept. 29 1

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6 Problem. 2.2.5. KB SK KN Declared: * * * Correctly prsnted: 7 Problem. 2.3.16 KB SK KN Declared: Correctly prsnted: 8 Problem. 2.4.3 KB SK KN Declared: * * Correctly prsnted: Sept 24: not quite A good shot at part a) We ﬁnished the problem together.
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Unformatted text preview: 9 Problem. 2.4.5 ↑ KB SK KN Declared: * * * Correctly prsnted: 10 Problem. 2.4.7 ↑ KB SK KN Declared: * * * Correctly prsnted: 11 Problem. # 1 on Extension of Measure handout ↑ KB SK KN Declared: * * *(not part 3) Correctly prsnted: Sept. 22 12 Problem. # 2 on Extension of Measure handout ↑ KB SK KN Declared: * Correctly prsnted: 13 Problem. 2.5.6 ↑ KB SK KN Declared: Correctly prsntd: 2 14 Problem. 2.6.1 ↑ KB SK KN Declared: a) * Correctly prsntd: 15 Problem. 2.6.4 ↑ KB SK KN Declared: * * Correctly prsntd: Sept. 29 16 Problem (3.1.4) . ↑ KB SK KN Declared: Correctly prsntd: 17 Problem (3.1.7) . ↑ KB SK KN Declared: Correctly prsntd: 18 Problem (3.6.4) . ↑ KB SK KN Declared: Correctly prsntd: 19 Problem. 20 Problem. 21 Problem. 22 Problem. 23 Problem. 3...
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## This note was uploaded on 10/06/2010 for the course ES ES271 taught by Professor Machaut during the Spring '10 term at Colby.

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AssignedProblemsMA439F10 - 9 Problem 2.4.5 ↑ KB SK KN...

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