Real Number - "Reals" in Set Theory

"Reals" in Set Theory

In set theory, specifically descriptive set theory, the Baire space is used as a surrogate for the real numbers since the latter have some topological properties (connectedness) that are a technical inconvenience. Elements of Baire space are referred to as "reals".

Read more about this topic:  Real Number

Famous quotes containing the words set and/or theory:

    Fruits are acceptable gifts, because they are the flower of commodities, and admit of fantastic values being attached to them. If a man should send to me to come a hundred miles to visit him, and should set before me a basket of fine summer-fruit, I should think there was some proportion between the labor and the reward.
    Ralph Waldo Emerson (1803–1882)

    Many people have an oversimplified picture of bonding that could be called the “epoxy” theory of relationships...if you don’t get properly “glued” to your babies at exactly the right time, which only occurs very soon after birth, then you will have missed your chance.
    Pamela Patrick Novotny (20th century)