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This is a revised and extended version of Tech Report (EECS-2012-200) with the same title. The construction of various 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.

Details

Title
Regular Homotopies of Low-Genus Non-Orientable Surfaces
Creator
Sequin, Carlo H., Author
EECS Department, University of California, Author
Published
2013-03-28
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECS-2013-21
Type
Text
Format
technical reports
Extent
24 p
Archive
The Engineering Library
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