## space-
Where does space begin? "Space isn't remote at all. It's only an hour's drive away if your car could go straight upwards." – Fred Hoyle,*Observer*( Sep. 9, 1979) - (PHYSICS) The three-dimensional
theater in which things as we know them can exist or in which events
can take place. In the Einsteinian worldview, space and time are united
inextricably in a spacetime continuum and
there is also the possibility of higher
dimensions. See also fourth
dimension.
• SPACE AND TIME - (MATH) In mathematics, a space
is any unbounded or bounded extent. According to Euclidean
geometry, space is uniform and infinite, so that we may talk of
a line of infinite extent or a polygon
of infinite area. In Riemannian
geometry, however, all lines are of less than a certain, finite
extent; and in
**Lobachevskian geometry**, there is a similar maximum area.
There are additionally many other types of space, most of them too abstract to imagine or to describe accurately in a few sentences. Generally, a mathematical space is a set of points with additional features. In a topological space every point has a collection of neighborhoods to which it belongs. In an**affine space**(see affine geometry), which is a generalization of the familiar concepts of a straight line, a plane, and ordinary three-dimensional space, a defining feature is the ability to fix a point and a set of coordinate axes through it so that every point in the space can be represented as a "tuple," or ordered set, of coordinates. Other examples of mathematical spaces include vector space,**measure spaces**, and metric spaces.
• TOPOLOGY
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