Topology

Study of geometric properties preserved under continuous deformations.

What is Topology?Types of Topological SpacesOpen and Closed Sets
Homeomorphisms and Topological EquivalenceConnectedness and CompactnessTopological Invariants
Topology in Computer ScienceTopology in Biology and MedicineEveryday Uses of Topology
Visual Learning with DiagramsActive Recall and Practice Problems
What is Topology?Types of Topological...Open and Closed SetsHomeomorphisms and T...Connectedness and Co...Topological Invarian...Topology in Computer...Topology in Biology ...Everyday Uses of Top...Visual Learning with...Active Recall and Pr...
Practical Applications

Everyday Uses of Topology

Topology All Around Us

You might not realize it, but topology pops up in all sorts of daily activities and technologies.

Where You’ll See It

  • Navigation apps: Calculating the shortest route by analyzing the topological structure of a road network.
  • Robotics: Helping robots find their way by mapping out spaces topologically.
  • Art and design: Creating sculptures or jewelry based on topological surfaces, like Möbius strips.

Surprising Examples

  • Solving puzzles that involve knots and links.
  • Designing secure locks and keys using topological principles.

Examples

  • A GPS finding the fastest path home by considering which roads connect, not their exact shape.

  • Artists making jewelry based on the non-orientable Möbius strip.

Next
Visual Learning with Diagrams
Everyday Uses of Topology - Topology Content | Practice Hub