When did Leonhard Euler publish the paper that birthed topology?
Leonhard Euler published the paper in 1736. The work involved the city of Königsberg and its seven bridges connecting four landmasses.
Questions about Topology
Short answers, pulled from the story.
Who introduced the term Topologie in his book Vorstudien zur Topologie?
Johann Benedict Listing introduced the term Topologie in his 1847 book Vorstudien zur Topologie. He had used the word in correspondence for ten years before printing it.
What is the relationship between a coffee mug and a doughnut in topology?
A coffee mug and a doughnut are homeomorphic because one can be deformed into the other without cutting or gluing. This transformation involves creating a dimple to shrink the central hole into the mug's handle.
Which three fields form the foundation of general topology?
General topology serves as the foundation for differential topology, geometric topology, and algebraic topology. Algebraic topology uses tools from algebra to study topological spaces while differential topology focuses on differentiable functions on differentiable manifolds.
Why was the 2016 Nobel Prize in Physics awarded to David Thouless Duncan Haldane and Michael Kosterlitz?
The 2016 Nobel Prize in Physics recognized work on topological orders by David Thouless Duncan Haldane and Michael Kosterlitz. Their research demonstrated the Quantum Hall effect which showed one-way current protected from backscattering.