The construction of various of Klein bottles that belong to different regular homotopy classes, and which thus cannot be smoothly transformed into one another, is formally introduced. For all cases it is shown how these shapes can be partitioned into two Möbius bands and how the twistedness of these bands defines the homotopy type.
Title
Regular Homotopies of Low-Genus Non-Orientable Surfaces
Published
EECS Department, University of California, University of California at Berkeley, Berkeley, California, 2012-09-30
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECS-2012-200
Type
Text
Extent
22 p
Archive
The Engineering Library
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