Open sets in R^n
Hello! :]
How one can prove that every open set in R^n is an union of countable many (or less) disjoint open balls and a set of (Lebesgue n-dimensional) measure zero?
Chris.
.
Relevant Pages
- Re: Open sets in R^n
... How one can prove that every open set in R^n is an union of countable many ... disjoint open balls and a set of ... measure zero? ...
(sci.math) - Re: Open sets in R^n
... How one can prove that every open set in R^n is an union of countable many ... disjoint open balls and a set of ... How does one cover the interior of a square in R^2 with the disjoint ... interiors of countably many circles plus a set of measure zero? ...
(sci.math) - Re: obvious fact about volume
... Now since K is a compact subset of the open set W there ... Qis a subset of W for all x in P_n intersect K. ... If n is large enough then the union of the Q ... Now the construction ...
(sci.math) - Re: Surely Youre Joking, Mr. Ullrich !
... Han de Bruijn wrote: ... interval } and the open set B (the open interval ... the union of all the points in A that belong to some ... that a randomly chosen point in A lies in B is zero. ...
(sci.math) - Re: Surely Youre Joking, Mr. Ullrich !
... interval } and the open set B (the open interval ... the union of all the points in A that belong to some ... countably many line segments), so the probability ... But make that distinguishing a tiny bit fuzzy ...
(sci.math) |
|
