noun, plural to·pol·o·gies for 3. Mathematics.
- the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.
- Also called point set topology. the study of limits in sets considered as collections of points.
- a collection of open sets making a given set a topological space.
noun
- the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc
- a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knottingFormer name: analysis situs
- maths a family of subsets of a given set S, such that S is a topological space
- the arrangement and interlinking of computers in a computer network
- the study of the topography of a given place, esp as far as it reflects its history
- the anatomy of any specific bodily area, structure, or part
1610s (implied in topological), from topo-, comb. form of Greek topos “place” (see topos) + -logy.
- The mathematical study of the geometric properties that are not normally affected by changes in the size or shape of geometric figures. In topology, a donut and a coffee cup with a handle are equivalent shapes, because each has a single hole.