definition of Borel \(\sigma\)-algebra of topological space
Topics
About: topological space
About: measure
The table of contents of this article
Starting Context
- The reader knows a definition of topological space.
- The reader knows a definition of \(\sigma\)-algebra of set generated by set of subsets.
Target Context
- The reader will have a definition of Borel \(\sigma\)-algebra of topological 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:
\( T\): \(\in \{\text{ the topological spaces }\}\) with topology \(O\)
\(*\sigma (O)\): \(= \text{ the } \sigma \text{ -algebra of } T \text{ generated by } O\)
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Conditions:
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