factor space
A "factor space" is a fundamental concept in mathematics, particularly in fields like topology and algebra, where it helps in understanding structures and relations within spaces.
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Definition
C2Topology
(technical, academic)A new space created by identifying points in an original space that are considered equivalent under a specific relation.
Example
- The Möbius strip can be viewed as a factor space by identifying opposite edges of a rectangle.
C2Algebra
(technical, academic)A set of all equivalence classes of elements in a given group or vector space, often formed by partitioning the space using a subgroup or subspace.
Example
- In group theory, the factor space G/H consists of all left cosets of the subgroup H in G.
Similar
Terms that have similar or relatively close meanings to "factor space":
free spacedual spaceempty spacephase spacedanger spacelittle spacehalf spacethin spacenear spacedark spacewhite spacejoint spacethick spaceouter spacethird spacepersonal spacedeep space