HELP: Stable sum and messurable space

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    Space Stable Sum
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Homework Help Overview

The discussion revolves around the concept of stability in measure theory, specifically concerning the stability of a measure \( m(\epsilon) \) under a countable sum. Participants are seeking clarification on the definition and implications of this stability within measurable spaces.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the meaning of "stable under a countable sum" and are attempting to define the term. There are discussions about the nature of the measure \( m \) and its relationship to sequences of sets.

Discussion Status

The conversation is ongoing, with some participants expressing confusion and seeking further clarification on the original question and its phrasing. There is an indication that multiple interpretations of the question are being explored.

Contextual Notes

There are indications of misunderstandings regarding the original question, and some participants are questioning the validity of the inquiry itself. The context suggests that the discussion is framed within the constraints of a homework help environment.

Hummingbird25
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Hi

I some need of urgent assistance to show the following:

[tex]m(\epsilon)[/tex] is stable under a countable sum.

Please can somebody explain this to me?

You Guys are my only hope !

Sincerely Yours Hummingbird25
 
Last edited:
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There really are such things as bad questions.
 
Excuse me ?

What do I need to rephrase ?

Sincerley Hummingbird

AKG said:
There really are such things as bad questions.
 
m is messure defined m: \epsilon \rightarrow R_+

where R_+ is the set for all positive real numbers !

Sincerley Yours
Hummingbird
 
What do you mean by "stable under a countable sum"?
 
StatusX said:
What do you mean by "stable under a countable sum"?

I was hoping that you could help define. I have an idear that its about a sequence of sets which \epsilon is defined upon, but I'm not sure.

Any idears ??

Sincerely

Hummingbird
 
What? Where did you get this question? Exactly what did it say? What you said in the last post made no sense.
 

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