definition of locally negligible subset of measure space
Topics
About: measure space
The table of contents of this article
Starting Context
- The reader knows a definition of negligible subset of measure space.
Target Context
- The reader will have a definition of locally negligible subset of measure space.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( (M, A, \mu)\): \(\in \{\text{ the measure spaces }\}\)
\(*S\): \(\subseteq M\)
//
Conditions:
\(\forall a \in A \text{ such that } \mu (a) \lt \infty (S \cap a \in \{\text{ the negligible subsets of } M\})\)
//
When \(\mu\) is needed to be specified, \(S\) is called "locally \(\mu\)-negligible subset of \(M\)".
