346: Normal Topological Space

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A definition of normal topological 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

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Starting Context

• The reader knows a definition of topological space.
• The reader knows a definition of closed set.

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Target Context

• The reader will have a definition of normal 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: Definition

Any topological space, $T$, such that for any disjoint closed sets, $C_1,C_2\subseteq T$, there are some disjoint open sets, $U_1,U_2\subseteq T$, such that $C_1\subseteq U_1$ and $C_2\subseteq U_2$

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References

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