An interval is a subset of the real numbers that contains all real numbers lying between any two numbers of the subset.
The endpoints of an … See more

The intervals are precisely the connected subsets of $${\displaystyle \mathbb {R} .}$$ It follows that the image of an interval by any continuous function from See more

Balls
An open finite interval $${\displaystyle (a,b)}$$ is a 1-dimensional open ball with a See more

In general topology
Every Tychonoff space is embeddable into a product space of the closed unit intervals $${\displaystyle [0,1].}$$ See more

The interval of numbers between a and b, including a and b, is often denoted [a, b]. The two numbers are called the endpoints of the interval. In countries where numbers are written with a decimal comma, a semicolon may be used as a separator to avoid ambiguity. See more

A dyadic interval is a bounded real interval whose endpoints are $${\displaystyle {\tfrac {j}{2^{n}}}}$$ and $${\displaystyle {\tfrac {j+1}{2^{n}}},}$$ where $${\displaystyle j}$$ See more

Intervals can be associated with points of the plane, and hence regions of intervals can be associated with regions of the plane. Generally, an interval in mathematics … See more