Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Continuous Transformation

    Basic definition

    A homeomorphism is ann equivalence relation and one-to-one correspondence that is continuous in both directions between points in two geometric figures or topological spaces.

    Detailed definition

    A homeomorphism, also called a continuous transformation, is an equivalence relation and one-to-one correspondence between points in two geometric figures or topological spaces that is continuous in both directions. A homeomorphism which also preserves distances is called an isometry. Affine transformations are another type of common geometric homeomorphism.
The similarity in meaning and form of the words "homomorphism" and "homeomorphism" is unfortunate and a common source of confusion.

    Educational grade level

    college level

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.