Topology

usgb/təˈpɑːlədʒi/
noun

The study of properties of space that are preserved under continuous transformations.

He is studying topology to understand the spatial characteristics of different shapes.
Visual representation of "topology" - The study of properties of space that are preserved under continuous transformations.

Often appears as...

  • study of topology
  • topology of space

Usage tips

Academic

Definition 1 of 3
Visual representation of "topology"
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Not Just Shape

Topology goes beyond mere shape to consider properties that don't change even when objects are stretched or bent.

Illustration for Not Just Shape
The topology course examined how a doughnut and a coffee cup are topologically the same due to one hole.
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Academic Field

Topology is a high-level mathematical concept often studied in advanced courses or research.

Illustration for Academic Field
After completing basic geometry, he advanced to studying topology.
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Continuous Transformations

The transformations in topology involve gradually changing an object without cutting or gluing.

Illustration for Continuous Transformations
Topology is fascinated with how a square and a circle can be continuously transformed into each other.
Visual representation of the word "Topology"

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