## Glossary - C

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- Cantor function
- Cantor set
- Cantor, Georg (1845-1918)
- Cantor-Bernstein theorem
- cardinality
- cardinality of continuum
- cardinality of power set
- Cauchy condensation test for series
- Cauchy criteria
- Cauchy criterion for series
- Cauchy product
- Cauchy sequence
- Cauchy sequence and convergence
- Cauchy, Augustin (1789-1857)
- center of convergence, power series
- chain rule
- characteristic function
- closed
- closed set, inverse image under continuous function
- closed sets and boundary
- closed sets and sequences
- closed sets, intersections of
- closed sets, unions of
- codomain
- compact
- compact means closed and bounded
- compact set, image under continuous function
- compact sets, nested
- comparison test for series
- complement
- completeness of R
- conditional convergence and rearrangement
- conditional convergence of series
- connected
- connected set, image under continuous function
- connected sets in R
- continuity and inverse images
- continuity and limits
- continuity and uniform convergence
- continuity, uniform
- continuous
- continuous and differentiable
- continuous and uniformly continuous
- continuous functions on compact set
- continuum hypothesis
- contradiction, proof by
- convergence almost everywhere
- convergence, absolute
- convergence, conditional
- convergence, pointwise
- convergence, uniform
- convergent sequence
- convergent sequences and subsequences
- convergent sequences are bounded
- convergent series
- cos function, definition via Taylor series
- countability of rationals
- countable
- countable hotel rooms
- countable unions
- cover