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What is...the Jordan curve theorem?
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Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Jordan curve theorem? Or: Come on, that's trivial...
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
Jordan curve theorem.
Not obvious?
Generalizations of the Jordan curve theorem.
Quotation.
Osgood curves.
Other crazy curves.
Stanford bunny and Alexanders horned sphere.
The connection to graph theory.
K3,3.
Planar graph.
Mathematica.
Pictures used.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Jordan curve theorem? Or: Come on, that's trivial...
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
Jordan curve theorem.
Not obvious?
Generalizations of the Jordan curve theorem.
Quotation.
Osgood curves.
Other crazy curves.
Stanford bunny and Alexanders horned sphere.
The connection to graph theory.
K3,3.
Planar graph.
Mathematica.
Pictures used.
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