20: Topological Manifold

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definition of topological manifold

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Topics

About: topological manifold

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description
• 2: Natural Language Description

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Starting Context

• The reader knows a definition of topological space.
• The reader knows a definition of Hausdorff topological space.
• The reader knows a definition of 2nd-countable topological space.
• The reader knows a definition of locally topologically Euclidean topological space.

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Target Context

• The reader will have a definition of topological manifold.

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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:
\(*M\): \(\in \{ \text{ the Hausdorff topological spaces }\} \cap \{\text{ the 2nd-countable topological spaces }\} \cap \{\text{ the locally topologically Euclidean topological spaces }\}\)
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Conditions:
//

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2: Natural Language Description

Any Hausdorff, 2nd-countable, locally topologically Euclidean topological space

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References

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