Euclidean spaces, and, more generally, metric spaces are examples of topological spaces, as any distance or metric defines a topology. The deformations that are considered in topology are …

Nov 9, 2012 · The meaning of TOPOLOGY is topographic study of a particular place; specifically : the history of a region as indicated by its topography. How to use topology in a sentence.

Nov 8, 2025 · Topology, while similar to geometry, differs from geometry in that geometrically equivalent objects often share numerically measured quantities, such as lengths or angles, …

Topology is the study of properties of geometric spaces which are preserved by continuous deformations (intuitively, stretching, rotating, or bending are continuous deformations; tearing …

Dec 3, 2025 · Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing, however, is not allowed.

TOPOLOGY definition: the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching. See examples of topology used in a …

The study of geometric forms that remain the same after continuous (smooth) transformations. The forms can be stretched, twisted, bent or crumpled. But not torn or stuck together. Things …

Topology is the study of those geometric properties of shapes and spaces that do not rely strictly on exact distances.

Apr 10, 2025 · Topology, often described as ‘rubber sheet geometry,’ is a sophisticated branch of mathematics examining properties of spaces that remain invariant under continuous …

Topology studies properties of spaces that are invariant under any continuous deformation. It is sometimes called "rubber-sheet geometry" because the objects can be stretched and …