A form of the epsilon–delta definition of continuity was first given by Bernard Bolzano in 1817. See more

A real function that is a function from real numbers to real numbers can be represented by a graph in the Cartesian plane; such a function is continuous if, roughly speaking, the graph is a single unbroken … See more

The concept of continuous real-valued functions can be generalized to functions between metric spaces. A metric space is a set equipped with a function (called metric) that can be thought of as a measurement of the distanc… See more

Another, more abstract, notion of continuity is the continuity of functions between topological spaces in which there generally is no formal notion of distance, as there is in the case of metric spaces. A topological space is a … See more

If is a continuous function from some subset of a topological space then a continuous extension of to is any continuous function such that for every which is a condition that often written as In words, it is any continuous … See more

• Continuity (mathematics)
• Absolute continuity
• Dini continuity
• Equicontinuity
• Geometric continuity… See more

• Dugundji, James (1966). Topology. Boston: Allyn and Bacon. ISBN 978-0-697-06889-7. OCLC 395340485.
• "Continuous function", Encyclopedia of Mathematics, EMS Press, 2001 [1994]… See more