Math 4596 Topology

 

Syllabus                Errata                                            The Zarisky Topology

 

 

 Klein Bottle

 Homotopy of spheres

 Homotopy of projective spaces

 Homotopy of the both of them

 

 

 A mathematician confided
That a Mobius band is one-sided
And you'll get quite a laugh
If you cut one in half
For it stays in one piece when divided

Q: Why did the chicken cross the Möbius strip?
A: To get to the same side.

 

A mathematician named Klein                                     
Thought the Mobius strip was divine                             
He said "If you glue                                                        
The edges of two                                                            
You can make a strange bottle like mine                         

 

topology video

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