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Fundamental group

math Maturity 11-13

Think about a loop.

Homotopy of pointed circle maps.png
Homotopy of pointed circle maps.png
A loop is a path that comes back home. It can go around a hole. This helps us see the shape of things. It is like a game of follow the leader. Can you find a loop?
Star domain.svg
Star domain.svg

43 words
🖼️ Images & Media (8)
File:Double_torus_illustration.png
Double_torus_illustration.png
File:Homotopy_of_pointed_circle_maps.png
Homotopy_of_pointed_circle_maps.png
File:Homotopy_group_addition.svg
Homotopy_group_addition.svg
File:Star_domain.svg
Star_domain.svg
File:P1S2all.jpg
P1S2all.jpg
File:Fundamental_group_of_the_circle.svg
Fundamental_group_of_the_circle.svg
File:Marked 2-rose.svg
Marked 2-rose.svg
File:Trefoil_knot_left.svg
Trefoil_knot_left.svg
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📚 Content adapted from Wikipedia | Readability: FK 13.7 | Vital Level 4