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This category contains definitions related to continuity, in all its various contexts.
Related results can be found in Category:Continuity.

The mapping $f$ is continuous at (the point) $x$ (with respect to the topologies $\tau_1$ and $\tau_2$) if and only if:

For every neighborhood $N$ of $\map f x$ in $T_2$, there exists a neighborhood $M$ of $x$ in $T_1$ such that $f \sqbrk M \subseteq N$.


This category has the following 3 subcategories, out of 3 total.

Pages in category "Definitions/Continuity"

The following 104 pages are in this category, out of 104 total.