In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several...
4 KB (397 words) - 00:57, 17 August 2024
are one-dimensional spaces but are usually referred to by more specific terms. Any field K {\displaystyle K} is a one-dimensional vector space over itself...
3 KB (398 words) - 03:21, 4 September 2024
case of metric spaces, (n + 1)-dimensional balls have n-dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries...
34 KB (3,918 words) - 15:21, 23 October 2024
A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described...
7 KB (803 words) - 22:02, 19 August 2024
every zero-dimensional vector space. If all zero-dimensional vector spaces are assigned this orientation, then, because all isomorphisms among zero-dimensional...
15 KB (1,988 words) - 06:09, 7 October 2024
three-dimensional Euclidean space, that is, the Euclidean space of dimension three, which models physical space. More general three-dimensional spaces are...
34 KB (4,829 words) - 08:54, 20 October 2024
finite-dimensional if the dimension of V {\displaystyle V} is finite, and infinite-dimensional if its dimension is infinite. The dimension of the vector space V {\displaystyle...
9 KB (1,485 words) - 09:34, 2 November 2024
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible...
44 KB (5,322 words) - 23:20, 2 November 2024