Consider the following loops on the Klein bottle. (1) Decide whether they are orientation reversing or preserving. Explain. (2) In each of the three case, cut the surface by the curve. What is the resulting surface for each case?

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Consider the following loops on the Klein bottle.
(1) Decide whether they are orientation reversing or preserving. Explain.
(2) In each of the three case, cut the surface by the curve. What is the resulting surface
for each case?
Transcribed Image Text:Consider the following loops on the Klein bottle. (1) Decide whether they are orientation reversing or preserving. Explain. (2) In each of the three case, cut the surface by the curve. What is the resulting surface for each case?
A
B
ON
Transcribed Image Text:A B ON
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