Jump to content

Lebesgue measurable sets

Meital
in Analysis and Calculus

Featured Replies

Prove or disprove:

If the boundary of set omega in R^d has an outer measure zero, then omega is Lebesgue measurable.

I was trying to come up with a counter example, but I couldn't. Then I tried

to prove it, yet I was not able to do so. Please help me :-(

Just to let you know that I'm thinking about the problem. It sort of makes sense and I'm unable to find a counter-example, so it's beginning to look true. Did you get anywhere with this?

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.