220: Neighborhood Basis at Point

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A definition of neighborhood basis at point

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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 neighborhood.

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Target Context

• The reader will have a definition of neighborhood basis at point.

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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 space, $T$, and any point, $p\in T$, any set, $B_p$, of some $p$ neighborhoods such that for each $p$ neighborhood, $N_p$, there is an element of $B_p$ which is contained in $N_p$

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References

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