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Continuous


A general mathematical property obeyed by mathematical objects in which all elements are within a neighborhood of nearby points. The continuous maps between topological spaces form a category. The designation "continuous" is sometimes used to indicate membership in this category.


See also

Absolutely Continuous, Continuous Distribution, Continuity, Continuous Function, Continuous Map, Continuous Space, Differentiable, Jump, Piecewise Continuous

Portions of this entry contributed by Todd Rowland

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References

Jeffreys, H. and Jeffreys, B. S. "Limits of Functions: Continuity." §1.06 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 17-23, 1988.

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Continuous

Cite this as:

Rowland, Todd and Weisstein, Eric W. "Continuous." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Continuous.html

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