Category:Continuity
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This category contains results about continuity, in all its various contexts.
Definitions specific to this category can be found in Definitions/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
P
U
Pages in category "Continuity"
The following 24 pages are in this category, out of 24 total.
C
- Combination Theorem for Continuous Functions
- Composite of Continuous Mappings is Continuous/Corollary
- Continuity of Heaviside Step Function
- Continuous Function on Compact Subspace of Euclidean Space is Bounded
- Continuous Inverse Theorem
- Continuous Real Function Differentiable on Borel Set
- Continuous Replicative Function/Historical Note
D
- Definite Integral of Function satisfying Dirichlet Conditions is Continuous
- Definite Integral of Uniformly Convergent Series of Continuous Functions
- Derivative of Uniformly Convergent Sequence of Differentiable Functions
- Derivative of Uniformly Convergent Series of Continuously Differentiable Functions