364: Finite-Open-Sets-Sequence-Connected Pair of Open Sets

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A definition of finite-open-sets-sequence-connected pair of open sets

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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.

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Target Context

• The reader will have a definition of finite-open-sets-sequence-connected pair of open sets.

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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, $T$, any pair of open sets, $U_1,U_2\subseteq T$, such that there is a finite sequence of open sets of $T$, $U_1,U_3,...,U_n,U_2$, such that any adjoining pair of elements in the sequence shares a point.

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References

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