# Category:Definitions/Continuity

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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:

## Subcategories

This category has the following 14 subcategories, out of 14 total.

### A

### C

### D

### L

### P

### S

## Pages in category "Definitions/Continuity"

The following 38 pages are in this category, out of 38 total.

### C

- Definition:Continuity
- Definition:Continuous at Point of Normed Vector Space
- Definition:Continuous at Point of Topological Space
- Definition:Continuous Extension
- Definition:Continuous Function
- Definition:Continuous Linear Transformation Space
- Definition:Continuous Mapping
- Definition:Continuous Mapping (Normed Vector Space)
- Definition:Continuous Mapping (Normed Vector Space)/Point
- Definition:Continuous Mapping (Normed Vector Space)/Point/Definition 1
- Definition:Continuous Mapping (Normed Vector Space)/Space
- Definition:Continuous Mapping (Normed Vector Space)/Space/Definition 1
- Definition:Continuous Mapping (Topology)
- Definition:Continuous Ordered Set
- Definition:Continuous Real-Valued Function
- Definition:Continuous Real-Valued Vector Function