Lebesgue Null Sets: Countable or Not?

  • Level: Graduate 
  • Thread starter aaaa202
  • Start date
  • Tags Tags
    Sets
1 reply · 3K views · last reply
aaaa202
Messages
1,144
Reaction score
2
Obviously countable sets of R are Lebesgue null sets - but are Lebesgue null sets countable?
 

Discussion

Similar threads

Undergrad On translation and dilation invariant Lebesgue measure: Folland's text
  • psie
  • · Replies 2 ·
  • Topology and Analysis
Replies
2
Undergrad A concise "proof" of the Riemann-Lebesgue lemma
  • psie
  • · Replies 1 ·
  • Topology and Analysis
Replies
1
Undergrad Lebesgue criterion: domains and limits of h and H in Folland 2.23
  • psie
  • · Replies 2 ·
  • Topology and Analysis
Replies
2
Graduate Compute Lebesgue integral as (improper) Riemann integral
  • SchroedingersLion
  • · Replies 5 ·
  • Topology and Analysis
Replies
5
Proving Null Sets: Lebesgue Measure and Lipschitz Functions
  • TheBigBadBen
  • · Replies 4 ·
  • Topology and Analysis
Replies
4
Undergrad N-dimensional Lebesgue measure: def. with Borel sets
  • DavideGenoa
  • · Replies 2 ·
  • Topology and Analysis
Replies
2
Undergrad Substitution in a Lebesgue integral
  • DavideGenoa
  • · Replies 7 ·
  • Topology and Analysis
Replies
7
Graduate Lebesgue outer measure of a set of countably many points is 0 - logic check
  • dumbQuestion
  • · Replies 9 ·
  • Topology and Analysis
Replies
9
Graduate Convergence of an Integral Involving Lebesgue Measure and Sine Functions
  • pawlo392
  • · Replies 10 ·
  • Topology and Analysis
Replies
10
Undergrad Why is Lebesgue measure preferred in physics despite non-measurable sets?
  • Pikkugnome
  • · Replies 14 ·
  • Set Theory, Logic, Probability, Statistics
Replies
14