Onedimensional space
In physics and mathematics, a sequence of n numbers can specify a location in ndimensional space. When n = 1, the set of all such locations is called a onedimensional space. An example of a onedimensional space is the number line, where the position of each point on it can be described by a single number.[1]
Geometry  



Geometers  
by name


by period


In algebraic geometry there are several structures that are technically onedimensional spaces but referred to in other terms. A field k is a onedimensional vector space over itself. Similarly, the projective line over k is a onedimensional space. In particular, if k = ℂ, the complex numbers, then the complex projective line P^{1}(ℂ) is onedimensional with respect to ℂ, even though it is also known as the Riemann sphere.
More generally, a ring is a lengthone module over itself. Similarly, the projective line over a ring is a onedimensional space over the ring. In case the ring is an algebra over a field, these spaces are onedimensional with respect to the algebra, even if the algebra is of higher dimensionality.
Hypersphere
The hypersphere in 1 dimension is a pair of points,[2] sometimes called a 0sphere as its surface is zerodimensional. Its length is
where is the radius.
Coordinate systems in onedimensional space
One dimensional coordinate systems include the number line and the angle.
References
 Гущин, Д. Д. "Пространство как математическое понятие" (in Russian). fmclass.ru. Retrieved 20150606.
 Gibilisco, Stan (1983). Understanding Einstein's Theories of Relativity: Man's New Perspective on the Cosmos. TAB Books. p. 89.