911: Borel σ-Algebra of Topological Space

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definition of Borel $\sigma$-algebra of topological space

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Topics

About: topological space
About: measure

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description

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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.

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Target Context

• The reader will have a definition of Borel $\sigma$-algebra of topological space.

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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.

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Main Body

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1: Structured Description

Here is the rules of Structured Description.

Entities:
$T$: $\in \{\text{ the topological spaces }\}$ with topology $O$
$\ast \sigma (O)$: $=\text{ the }\sigma \text{ -algebra of }T\text{ generated by }O$
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Conditions:
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References

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