Difference between revisions of "Subbase"

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(Created page with "Let $(X,\tau)$ be a topological space. Then we say that a set $B \subset \tau$ of open sets is a subbase of $(X,\tau)$ if the smallest topology containing $B$ is $\tau$.")
 
 
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Let $(X,\tau)$ be a [[topological space]]. Then we say that a set $B \subset \tau$ of open sets is a subbase of $(X,\tau)$ if the smallest topology containing $B$ is $\tau$.
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Let $(X,\tau)$ be a [[topological space]]. Then we say that a set $B \subset \tau$ of open sets is a ''subbase of $(X,\tau)$'' if the smallest topology containing $B$ is $\tau$.

Latest revision as of 20:17, 28 August 2014

Let $(X,\tau)$ be a topological space. Then we say that a set $B \subset \tau$ of open sets is a subbase of $(X,\tau)$ if the smallest topology containing $B$ is $\tau$.