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a little edit
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SashaKolpakov
SashaKolpakov
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I think, what you are thinkingcurious about is the difference between good orbifolds (which have a manifold cover) and bad ones (having no manifold cover). There are standard examples of a "teardrop" and a "spindle" as bad orbifolds. The best way to reach them (with explanations), is to read Thurston's notes (or google out some other lecture notes on orbifolds, which are now numerous).

I think, what you are thinking about is the difference between good orbifolds (which have a manifold cover) and bad ones (having no manifold cover). There are standard examples of a "teardrop" and a "spindle" as bad orbifolds. The best way to reach them (with explanations), is to read Thurston's notes (or google out some other lecture notes on orbifolds, which are now numerous).

I think, what you are curious about is the difference between good orbifolds (which have a manifold cover) and bad ones (having no manifold cover). There are standard examples of a "teardrop" and a "spindle" as bad orbifolds. The best way to reach them (with explanations), is to read Thurston's notes (or google out some other lecture notes on orbifolds, which are now numerous).

Source Link
SashaKolpakov
SashaKolpakov
  • 1.3k
  • 1
  • 11
  • 22

I think, what you are thinking about is the difference between good orbifolds (which have a manifold cover) and bad ones (having no manifold cover). There are standard examples of a "teardrop" and a "spindle" as bad orbifolds. The best way to reach them (with explanations), is to read Thurston's notes (or google out some other lecture notes on orbifolds, which are now numerous).