# Category:Definitions/Continuous Mappings (Topology)

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This category contains definitions related to continuous mappings in the context of topology.

Related results can be found in **Category:Continuous Mappings (Topology)**.

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

## Pages in category "Definitions/Continuous Mappings (Topology)"

The following 19 pages are in this category, out of 19 total.

### C

- Definition:Continuous Mapping (Topological Spaces)
- Definition:Continuous Mapping (Topology)
- Definition:Continuous Mapping (Topology)/Also known as
- Definition:Continuous Mapping (Topology)/Everywhere
- Definition:Continuous Mapping (Topology)/Everywhere/Open Sets
- Definition:Continuous Mapping (Topology)/Everywhere/Pointwise
- Definition:Continuous Mapping (Topology)/Point
- Definition:Continuous Mapping (Topology)/Point/Filters
- Definition:Continuous Mapping (Topology)/Point/Neighborhood Inverse
- Definition:Continuous Mapping (Topology)/Point/Neighborhoods
- Definition:Continuous Mapping (Topology)/Point/Open Sets
- Definition:Continuous Mapping (Topology)/Set
- Definition:Continuous Mapping at Point (Topology)
- Definition:Continuous Mapping Between Topological Spaces at Point
- Definition:Continuous Mapping on Set