280: Homeomorphism

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A definition of homeomorphism

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Topics

About: topological space
About: map

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The table of contents of this article

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

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Starting Context

• The reader knows a definition of topological space.
• The reader knows a definition of continuous map.

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Target Context

• The reader will have a definition of homeomorphism.

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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

For any topological spaces, $T_1$ and $T_2$, the pair of any bijective map and its inverse, $f:T_1\to T_2$ and $f^{-1}:T_2\to T_1$, that are continuous

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References

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