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Results tagged with orbifolds
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user 20787
10
votes
Accepted
Do regular points of an orbifold form a connected set?
Part of the reason that people consider orbifolds whose singular points have codimension $\ge 2$ is because they are restricting their attention to oriented orbifolds. … If you do not restrict to oriented orbifolds, there is only one way that a codimension 1 stratum can arise: the isotropy group is the order 2 cyclic group $\mathbb{Z}/2\mathbb Z$, acting by reflection …
- 15.4k
3
votes
Topological invariants of toroidal orbifolds
Since $T^2$ has Euler characteristic zero, its quotient orbifolds by finite group actions must also have orbifold Euler characteristic zero. Neil Hoffman's answer enumerates them all. …
- 15.4k
9
votes
Orbifold fundamental group in terms of loops?
To understand the difficulties inherent in forming a "path-based" definition of the orbifold fundamental group, it is good to ponder Serre's definition of a fundamental group of a graph of groups, giv …
- 15.4k
0
votes
A terminological question concerning orbifolds.
The question you are asking is a social question, and it cannot have any answer better than a social answer.
Is there a terminology that the orbifold community has settled on and uses universally? N …