448: Polish Space

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A definition of Polish space

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Topics

About: topological space

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Definition
• 2: Note

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Starting Context

• The reader knows a definition of separable topological space.
• The reader knows a definition of complete metric space.

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Target Context

• The reader will have a definition of Polish 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: Definition

Any separable topological space that is metrizable to become a complete metric space

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2: Note

Being metrizable is different from being a metric space, so, the topological space does not need to be any metric space if it can be made a complete metric space.

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References

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