Category:Local Boundedness
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This category contains results about Local Boundedness.
Definitions specific to this category can be found in Definitions/Local Boundedness.
Let $M = \struct {A, d}$ be a metric space.
Let $f$ be a mapping defined on $M$.
Then $f$ is said to be locally bounded if and only if:
- for all $x \in A$, there is some neighbourhood $N$ of $x$ such that $f \sqbrk N$ is bounded.
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